\documentclass[9pt]{article}
\usepackage{amsmath}
\begin{document}
Read in the following dictionary:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  3.0 & -2.00 x_{1} & +  5.00 x_{2} & +  4.00 x_{3} & -6.00 x_{4} & +  1.00 x_{5} & +  7.00 x_{6} & -5.00 x_{7} & +  9.00 x_{8} & +  3.00 x_{9} & -1.00 x_{10} & -1.00 x_{11} & -4.00 x_{12} & + 10.00 x_{13} & -10.00 x_{14} & +  5.00 x_{15}\\
 x_{17}   &  3.0 & -3.00 x_{1} & -2.00 x_{2} & +  5.00 x_{3} & +  2.00 x_{4} & -2.00 x_{5} & +  4.00 x_{6} & -6.00 x_{7} & +  6.00 x_{8} & +  2.00 x_{9} & -8.00 x_{10} & +  8.00 x_{11} & -9.00 x_{12} & -4.00 x_{13} & +  7.00 x_{14} & +  4.00 x_{15}\\
 x_{18}   &  0.0 & +  3.00 x_{1} & +  8.00 x_{2} & +  9.00 x_{3} & -9.00 x_{4} & -4.00 x_{5} & -10.00 x_{6} & -2.00 x_{7} & +  8.00 x_{8} & +  1.00 x_{9} & +  9.00 x_{10} & +  7.00 x_{11} & +  7.00 x_{12} & -5.00 x_{13} &   & +  9.00 x_{15}\\
 x_{19}   &  3.0 & +  1.00 x_{1} & +  9.00 x_{2} & -6.00 x_{3} & -2.00 x_{4} & -4.00 x_{5} & +  5.00 x_{6} & +  5.00 x_{7} & -9.00 x_{8} & +  4.00 x_{9} & -3.00 x_{10} & +  1.00 x_{11} & +  6.00 x_{12} & + 10.00 x_{13} & +  2.00 x_{14} & -9.00 x_{15}\\
 x_{20}   &  -3.0 & -9.00 x_{1} & +  7.00 x_{2} & +  8.00 x_{3} & -2.00 x_{4} & +  1.00 x_{5} & +  2.00 x_{6} & +  1.00 x_{7} & -7.00 x_{8} & +  7.00 x_{9} & +  8.00 x_{10} & -8.00 x_{11} & + 10.00 x_{12} & +  5.00 x_{13} & +  7.00 x_{14} & +  3.00 x_{15}\\
 x_{21}   &  0.0  &   & -2.00 x_{2} & +  9.00 x_{3} & -8.00 x_{4} & +  5.00 x_{5} & -3.00 x_{6} & -8.00 x_{7} & -2.00 x_{8} & +  6.00 x_{9} & +  2.00 x_{10} & -6.00 x_{11} & -10.00 x_{12} &   & +  1.00 x_{14} & -7.00 x_{15}\\
 x_{22}   &  -1.0 & +  1.00 x_{1} & -10.00 x_{2} & -4.00 x_{3} & -2.00 x_{4} & +  9.00 x_{5} & +  5.00 x_{6} & +  3.00 x_{7} & -10.00 x_{8} & -1.00 x_{9} & +  1.00 x_{10} & -8.00 x_{11} & +  9.00 x_{12} & -2.00 x_{13} & +  5.00 x_{14} & -5.00 x_{15}\\
 x_{23}   &  3.0 & +  4.00 x_{1} & -9.00 x_{2} & -10.00 x_{3} & -3.00 x_{4} & +  5.00 x_{5} & -2.00 x_{6} & +  4.00 x_{7} & +  5.00 x_{8} & +  1.00 x_{9} & +  2.00 x_{10} & -1.00 x_{11} &   & +  2.00 x_{13} & + 10.00 x_{14} & +  6.00 x_{15}\\
 x_{24}   &  -3.0 & +  8.00 x_{1} & -9.00 x_{2} & +  5.00 x_{3} & +  1.00 x_{4} & +  7.00 x_{5} & -4.00 x_{6} & +  4.00 x_{7} & +  4.00 x_{8} & -1.00 x_{9} & -8.00 x_{10} & + 10.00 x_{11} & -5.00 x_{12} & +  5.00 x_{13} & -1.00 x_{14} & -3.00 x_{15}\\
 x_{25}   &  2.0 & +  8.00 x_{1} & +  3.00 x_{2} & -6.00 x_{3} & +  5.00 x_{4} & +  6.00 x_{5} & -1.00 x_{6} & +  9.00 x_{7} & +  6.00 x_{8} & +  7.00 x_{9} & + 10.00 x_{10} & -2.00 x_{11} &   & -6.00 x_{13} & +  2.00 x_{14} & +  7.00 x_{15}\\
 x_{26}   &  -2.0 & +  2.00 x_{1} & +  6.00 x_{2} & -8.00 x_{3} & -7.00 x_{4} & +  1.00 x_{5} & +  2.00 x_{6} & -1.00 x_{7} & -1.00 x_{8} &   & -9.00 x_{10} & -7.00 x_{11} & +  7.00 x_{12} & +  3.00 x_{13} & -2.00 x_{14} & -10.00 x_{15}\\
 x_{27}   &  3.0 & +  5.00 x_{1} & -2.00 x_{2} & -2.00 x_{3} & +  6.00 x_{4} & -8.00 x_{5} & -10.00 x_{6} & -5.00 x_{7} & + 10.00 x_{8} & +  3.00 x_{9} & -3.00 x_{10} & -4.00 x_{11} & + 10.00 x_{12} & -1.00 x_{13} & -5.00 x_{14} & + 10.00 x_{15}\\
 x_{28}   &  -2.0 & +  5.00 x_{1} & +  3.00 x_{2} & +  3.00 x_{3} & -5.00 x_{4} & +  8.00 x_{5} &   & +  4.00 x_{7} & +  6.00 x_{8} & +  4.00 x_{9} & -3.00 x_{10} & + 10.00 x_{11} & +  8.00 x_{12} & +  7.00 x_{13} & +  8.00 x_{14} & -4.00 x_{15}\\
 x_{29}   &  2.0 & -9.00 x_{1} & -9.00 x_{2} & +  5.00 x_{3} & +  1.00 x_{4} & +  2.00 x_{5} & +  2.00 x_{6} & +  3.00 x_{7} & -6.00 x_{8} & + 10.00 x_{9} &   & + 10.00 x_{11} & -7.00 x_{12} & + 10.00 x_{13} & +  9.00 x_{14} & +  5.00 x_{15}\\
 x_{30}   &  -2.0 & +  6.00 x_{1} & +  7.00 x_{2} &   & +  7.00 x_{4} & -8.00 x_{5} & + 10.00 x_{6} & -5.00 x_{7} & +  9.00 x_{8} & -2.00 x_{9} & -3.00 x_{10} & +  5.00 x_{11} & +  6.00 x_{12} & +  1.00 x_{13} & -2.00 x_{14} & -10.00 x_{15}\\
\hline
z    &  0.0  &   & -1.00 x_{2} & -4.00 x_{3} & +  1.00 x_{4} & -3.00 x_{5} & +  4.00 x_{6} & +  5.00 x_{7} & +  4.00 x_{8} & -2.00 x_{9} & -5.00 x_{10} & +  1.00 x_{11} & +  5.00 x_{12} & +  4.00 x_{13} & +  2.00 x_{14} & +  4.00 x_{15}\\
\end{array}\]
\subsection{Initialization Phase: Dual Problem Solving}
New Objective in primal was changed to : \[ \max\ \sum_{j=1}^{15}\ - x_j \] 
Primal variable $x_j$ corresponds to dual variable $y_j$ for $j = 1,\ldots,30$
Dual Dictionary (with objective changed is): 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  1.0 & +  2.00 y_{16} & +  3.00 y_{17} & -3.00 y_{18} & -1.00 y_{19} & +  9.00 y_{20} &   & -1.00 y_{22} & -4.00 y_{23} & -8.00 y_{24} & -8.00 y_{25} & -2.00 y_{26} & -5.00 y_{27} & -5.00 y_{28} & +  9.00 y_{29} & -6.00 y_{30}\\
 y_{2}   &  1.0 & -5.00 y_{16} & +  2.00 y_{17} & -8.00 y_{18} & -9.00 y_{19} & -7.00 y_{20} & +  2.00 y_{21} & + 10.00 y_{22} & +  9.00 y_{23} & +  9.00 y_{24} & -3.00 y_{25} & -6.00 y_{26} & +  2.00 y_{27} & -3.00 y_{28} & +  9.00 y_{29} & -7.00 y_{30}\\
 y_{3}   &  1.0 & -4.00 y_{16} & -5.00 y_{17} & -9.00 y_{18} & +  6.00 y_{19} & -8.00 y_{20} & -9.00 y_{21} & +  4.00 y_{22} & + 10.00 y_{23} & -5.00 y_{24} & +  6.00 y_{25} & +  8.00 y_{26} & +  2.00 y_{27} & -3.00 y_{28} & -5.00 y_{29} &   \\
 y_{4}   &  1.0 & +  6.00 y_{16} & -2.00 y_{17} & +  9.00 y_{18} & +  2.00 y_{19} & +  2.00 y_{20} & +  8.00 y_{21} & +  2.00 y_{22} & +  3.00 y_{23} & -1.00 y_{24} & -5.00 y_{25} & +  7.00 y_{26} & -6.00 y_{27} & +  5.00 y_{28} & -1.00 y_{29} & -7.00 y_{30}\\
 y_{5}   &  1.0 & -1.00 y_{16} & +  2.00 y_{17} & +  4.00 y_{18} & +  4.00 y_{19} & -1.00 y_{20} & -5.00 y_{21} & -9.00 y_{22} & -5.00 y_{23} & -7.00 y_{24} & -6.00 y_{25} & -1.00 y_{26} & +  8.00 y_{27} & -8.00 y_{28} & -2.00 y_{29} & +  8.00 y_{30}\\
 y_{6}   &  1.0 & -7.00 y_{16} & -4.00 y_{17} & + 10.00 y_{18} & -5.00 y_{19} & -2.00 y_{20} & +  3.00 y_{21} & -5.00 y_{22} & +  2.00 y_{23} & +  4.00 y_{24} & +  1.00 y_{25} & -2.00 y_{26} & + 10.00 y_{27} &   & -2.00 y_{29} & -10.00 y_{30}\\
 y_{7}   &  1.0 & +  5.00 y_{16} & +  6.00 y_{17} & +  2.00 y_{18} & -5.00 y_{19} & -1.00 y_{20} & +  8.00 y_{21} & -3.00 y_{22} & -4.00 y_{23} & -4.00 y_{24} & -9.00 y_{25} & +  1.00 y_{26} & +  5.00 y_{27} & -4.00 y_{28} & -3.00 y_{29} & +  5.00 y_{30}\\
 y_{8}   &  1.0 & -9.00 y_{16} & -6.00 y_{17} & -8.00 y_{18} & +  9.00 y_{19} & +  7.00 y_{20} & +  2.00 y_{21} & + 10.00 y_{22} & -5.00 y_{23} & -4.00 y_{24} & -6.00 y_{25} & +  1.00 y_{26} & -10.00 y_{27} & -6.00 y_{28} & +  6.00 y_{29} & -9.00 y_{30}\\
 y_{9}   &  1.0 & -3.00 y_{16} & -2.00 y_{17} & -1.00 y_{18} & -4.00 y_{19} & -7.00 y_{20} & -6.00 y_{21} & +  1.00 y_{22} & -1.00 y_{23} & +  1.00 y_{24} & -7.00 y_{25} &   & -3.00 y_{27} & -4.00 y_{28} & -10.00 y_{29} & +  2.00 y_{30}\\
 y_{10}   &  1.0 & +  1.00 y_{16} & +  8.00 y_{17} & -9.00 y_{18} & +  3.00 y_{19} & -8.00 y_{20} & -2.00 y_{21} & -1.00 y_{22} & -2.00 y_{23} & +  8.00 y_{24} & -10.00 y_{25} & +  9.00 y_{26} & +  3.00 y_{27} & +  3.00 y_{28} &   & +  3.00 y_{30}\\
 y_{11}   &  1.0 & +  1.00 y_{16} & -8.00 y_{17} & -7.00 y_{18} & -1.00 y_{19} & +  8.00 y_{20} & +  6.00 y_{21} & +  8.00 y_{22} & +  1.00 y_{23} & -10.00 y_{24} & +  2.00 y_{25} & +  7.00 y_{26} & +  4.00 y_{27} & -10.00 y_{28} & -10.00 y_{29} & -5.00 y_{30}\\
 y_{12}   &  1.0 & +  4.00 y_{16} & +  9.00 y_{17} & -7.00 y_{18} & -6.00 y_{19} & -10.00 y_{20} & + 10.00 y_{21} & -9.00 y_{22} &   & +  5.00 y_{24} &   & -7.00 y_{26} & -10.00 y_{27} & -8.00 y_{28} & +  7.00 y_{29} & -6.00 y_{30}\\
 y_{13}   &  1.0 & -10.00 y_{16} & +  4.00 y_{17} & +  5.00 y_{18} & -10.00 y_{19} & -5.00 y_{20} &   & +  2.00 y_{22} & -2.00 y_{23} & -5.00 y_{24} & +  6.00 y_{25} & -3.00 y_{26} & +  1.00 y_{27} & -7.00 y_{28} & -10.00 y_{29} & -1.00 y_{30}\\
 y_{14}   &  1.0 & + 10.00 y_{16} & -7.00 y_{17} &   & -2.00 y_{19} & -7.00 y_{20} & -1.00 y_{21} & -5.00 y_{22} & -10.00 y_{23} & +  1.00 y_{24} & -2.00 y_{25} & +  2.00 y_{26} & +  5.00 y_{27} & -8.00 y_{28} & -9.00 y_{29} & +  2.00 y_{30}\\
 y_{15}   &  1.0 & -5.00 y_{16} & -4.00 y_{17} & -9.00 y_{18} & +  9.00 y_{19} & -3.00 y_{20} & +  7.00 y_{21} & +  5.00 y_{22} & -6.00 y_{23} & +  3.00 y_{24} & -7.00 y_{25} & + 10.00 y_{26} & -10.00 y_{27} & +  4.00 y_{28} & -5.00 y_{29} & + 10.00 y_{30}\\
\hline
z    &  -0 & -3.00 y_{16} & -3.00 y_{17} &   & -3.00 y_{19} & +  3.00 y_{20} &   & +  1.00 y_{22} & -3.00 y_{23} & +  3.00 y_{24} & -2.00 y_{25} & +  2.00 y_{26} & -3.00 y_{27} & +  2.00 y_{28} & -2.00 y_{29} & +  2.00 y_{30}\\
\end{array}\]
Initialization succeeded in finding final dual dictionary with 15 pivots
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{18}   &  0.00977458383767 & +  0.69 y_{16} & +  0.23 y_{17} & -0.01 y_{3} & +  0.23 y_{19} & -0.03 y_{12} & -0.03 y_{1} & -0.03 y_{9} & -0.00 y_{23} & +  0.01 y_{5} & -0.56 y_{25} & +  0.04 y_{13} & -1.02 y_{27} & -0.17 y_{28} & +  0.63 y_{29} & +  0.04 y_{6}\\
 y_{30}   &  0.113442736442 & -0.32 y_{16} & -0.28 y_{17} & -0.02 y_{3} & -0.33 y_{19} & -0.00 y_{12} & -0.05 y_{1} & -0.02 y_{9} & +  0.27 y_{23} & +  0.03 y_{5} & -0.22 y_{25} & +  0.01 y_{13} & +  0.01 y_{27} & -0.15 y_{28} & +  0.12 y_{29} & -0.05 y_{6}\\
 y_{14}   &  0.666955822216 & + 11.37 y_{16} & -5.62 y_{17} & +  0.37 y_{3} & -6.36 y_{19} & +  0.19 y_{12} & -0.43 y_{1} & -0.29 y_{9} & -14.40 y_{23} & +  0.40 y_{5} & -6.77 y_{25} & -0.12 y_{13} & -1.98 y_{27} & -6.33 y_{28} & -7.49 y_{29} & +  0.21 y_{6}\\
 y_{4}   &  2.58456024053 & + 15.07 y_{16} & +  2.35 y_{17} & +  0.85 y_{3} & -6.01 y_{19} & -0.24 y_{12} & -0.83 y_{1} & -2.59 y_{9} & -11.97 y_{23} & -0.07 y_{5} & -39.55 y_{25} & +  0.59 y_{13} & -29.27 y_{27} & -5.34 y_{28} & -6.33 y_{29} & +  0.71 y_{6}\\
 y_{24}   &  0.0680000377347 & -0.53 y_{16} & +  0.48 y_{17} & -0.04 y_{3} & -0.09 y_{19} & -0.00 y_{12} & -0.02 y_{1} & +  0.08 y_{9} & +  0.05 y_{23} & -0.03 y_{5} & +  0.88 y_{25} & -0.07 y_{13} & +  0.30 y_{27} & -0.66 y_{28} & +  0.01 y_{29} & +  0.02 y_{6}\\
 y_{2}   &  0.391662948174 & -5.47 y_{16} & -0.91 y_{17} & -0.55 y_{3} & +  9.16 y_{19} & +  0.31 y_{12} & +  0.41 y_{1} & +  1.85 y_{9} & + 12.94 y_{23} & -1.25 y_{5} & +  8.18 y_{25} & +  0.21 y_{13} & + 27.32 y_{27} & -1.21 y_{28} & + 17.79 y_{29} & -0.38 y_{6}\\
 y_{7}   &  2.40136804343 & +  6.17 y_{16} & -0.49 y_{17} & +  0.35 y_{3} & -11.19 y_{19} & +  0.21 y_{12} & -0.78 y_{1} & -2.01 y_{9} & -8.53 y_{23} & +  0.44 y_{5} & -32.42 y_{25} & +  0.66 y_{13} & -4.91 y_{27} & -5.03 y_{28} & -8.94 y_{29} & -0.28 y_{6}\\
 y_{8}   &  1.09318215856 & -9.79 y_{16} & -7.48 y_{17} & +  0.19 y_{3} & + 12.56 y_{19} & -0.07 y_{12} & +  0.76 y_{1} & -0.15 y_{9} & -7.21 y_{23} & -0.85 y_{5} & -8.65 y_{25} & +  0.28 y_{13} & +  1.47 y_{27} & -7.60 y_{28} & -0.34 y_{29} & -0.26 y_{6}\\
 y_{22}   &  0.0587142786588 & +  0.40 y_{16} & -0.08 y_{17} & -0.01 y_{3} & +  0.69 y_{19} & -0.02 y_{12} & -0.00 y_{1} & +  0.02 y_{9} & +  0.03 y_{23} & -0.06 y_{5} & -0.52 y_{25} & +  0.06 y_{13} & +  0.60 y_{27} & -0.24 y_{28} & +  0.72 y_{29} & -0.03 y_{6}\\
 y_{10}   &  2.10795541953 & -4.97 y_{16} & + 15.59 y_{17} & +  0.78 y_{3} & -12.05 y_{19} & +  0.20 y_{12} & -0.83 y_{1} & -0.48 y_{9} & -15.45 y_{23} & +  0.03 y_{5} & -18.99 y_{25} & -0.92 y_{13} & -2.40 y_{27} & -5.23 y_{28} & -3.81 y_{29} & +  0.10 y_{6}\\
 y_{11}   &  2.47978366175 & +  1.87 y_{16} & -10.77 y_{17} & +  0.95 y_{3} & -10.26 y_{19} & -0.07 y_{12} & +  0.04 y_{1} & -2.41 y_{9} & -10.55 y_{23} & -0.35 y_{5} & -25.99 y_{25} & +  0.66 y_{13} & -0.37 y_{27} & -15.26 y_{28} & -23.94 y_{29} & -0.31 y_{6}\\
 y_{20}   &  0.063886523105 & -0.61 y_{16} & +  0.14 y_{17} & -0.03 y_{3} & -0.39 y_{19} & -0.02 y_{12} & +  0.04 y_{1} & +  0.01 y_{9} & +  0.36 y_{23} & -0.00 y_{5} & +  0.82 y_{25} & -0.05 y_{13} & +  0.17 y_{27} & -0.42 y_{28} & -0.76 y_{29} & -0.00 y_{6}\\
 y_{26}   &  0.131141978622 & +  0.10 y_{16} & +  0.73 y_{17} & +  0.09 y_{3} & -1.57 y_{19} & -0.02 y_{12} & -0.07 y_{1} & -0.17 y_{9} & -1.42 y_{23} & +  0.02 y_{5} & -2.05 y_{25} & -0.03 y_{13} & -1.75 y_{27} & -0.92 y_{28} & -0.60 y_{29} & +  0.04 y_{6}\\
 y_{21}   &  0.149436590617 & -0.03 y_{16} & -0.56 y_{17} & +  0.02 y_{3} & -0.26 y_{19} & +  0.02 y_{12} & -0.06 y_{1} & -0.16 y_{9} & -0.48 y_{23} & -0.00 y_{5} & -2.05 y_{25} & +  0.05 y_{13} & -0.38 y_{27} & -0.35 y_{28} & -0.72 y_{29} & -0.02 y_{6}\\
 y_{15}   &  4.7098439676 & -11.45 y_{16} & -4.84 y_{17} & +  0.85 y_{3} & -9.70 y_{19} & +  0.16 y_{12} & -1.49 y_{1} & -2.51 y_{9} & -21.56 y_{23} & -0.03 y_{5} & -41.41 y_{25} & +  0.05 y_{13} & -17.54 y_{27} & -9.57 y_{28} & -14.59 y_{29} & -0.74 y_{6}\\
\hline
z    &  0.943543391306 & -6.49 y_{16} & -0.31 y_{17} & -0.07 y_{3} & -7.57 y_{19} & -0.14 y_{12} & -0.18 y_{1} & -0.11 y_{9} & -4.05 y_{23} & -0.05 y_{5} & -1.95 y_{25} & -0.36 y_{13} & -4.47 y_{27} & -3.61 y_{28} & -4.50 y_{29} & -0.03 y_{6}\\
\end{array}\]
Primal Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  6.48542271904 & -0.69 x_{18} & +  0.32 x_{30} & -11.37 x_{14} & -15.07 x_{4} & +  0.53 x_{24} & +  5.47 x_{2} & -6.17 x_{7} & +  9.79 x_{8} & -0.40 x_{22} & +  4.97 x_{10} & -1.87 x_{11} & +  0.61 x_{20} & -0.10 x_{26} & +  0.03 x_{21} & + 11.45 x_{15}\\
 x_{17}   &  0.314798768887 & -0.23 x_{18} & +  0.28 x_{30} & +  5.62 x_{14} & -2.35 x_{4} & -0.48 x_{24} & +  0.91 x_{2} & +  0.49 x_{7} & +  7.48 x_{8} & +  0.08 x_{22} & -15.59 x_{10} & + 10.77 x_{11} & -0.14 x_{20} & -0.73 x_{26} & +  0.56 x_{21} & +  4.84 x_{15}\\
 x_{3}   &  0.0695110291087 & +  0.01 x_{18} & +  0.02 x_{30} & -0.37 x_{14} & -0.85 x_{4} & +  0.04 x_{24} & +  0.55 x_{2} & -0.35 x_{7} & -0.19 x_{8} & +  0.01 x_{22} & -0.78 x_{10} & -0.95 x_{11} & +  0.03 x_{20} & -0.09 x_{26} & -0.02 x_{21} & -0.85 x_{15}\\
 x_{19}   &  7.57127324607 & -0.23 x_{18} & +  0.33 x_{30} & +  6.36 x_{14} & +  6.01 x_{4} & +  0.09 x_{24} & -9.16 x_{2} & + 11.19 x_{7} & -12.56 x_{8} & -0.69 x_{22} & + 12.05 x_{10} & + 10.26 x_{11} & +  0.39 x_{20} & +  1.57 x_{26} & +  0.26 x_{21} & +  9.70 x_{15}\\
 x_{12}   &  0.144161408111 & +  0.03 x_{18} & +  0.00 x_{30} & -0.19 x_{14} & +  0.24 x_{4} & +  0.00 x_{24} & -0.31 x_{2} & -0.21 x_{7} & +  0.07 x_{8} & +  0.02 x_{22} & -0.20 x_{10} & +  0.07 x_{11} & +  0.02 x_{20} & +  0.02 x_{26} & -0.02 x_{21} & -0.16 x_{15}\\
 x_{1}   &  0.183268313926 & +  0.03 x_{18} & +  0.05 x_{30} & +  0.43 x_{14} & +  0.83 x_{4} & +  0.02 x_{24} & -0.41 x_{2} & +  0.78 x_{7} & -0.76 x_{8} & +  0.00 x_{22} & +  0.83 x_{10} & -0.04 x_{11} & -0.04 x_{20} & +  0.07 x_{26} & +  0.06 x_{21} & +  1.49 x_{15}\\
 x_{9}   &  0.108539444268 & +  0.03 x_{18} & +  0.02 x_{30} & +  0.29 x_{14} & +  2.59 x_{4} & -0.08 x_{24} & -1.85 x_{2} & +  2.01 x_{7} & +  0.15 x_{8} & -0.02 x_{22} & +  0.48 x_{10} & +  2.41 x_{11} & -0.01 x_{20} & +  0.17 x_{26} & +  0.16 x_{21} & +  2.51 x_{15}\\
 x_{23}   &  4.05363911476 & +  0.00 x_{18} & -0.27 x_{30} & + 14.40 x_{14} & + 11.97 x_{4} & -0.05 x_{24} & -12.94 x_{2} & +  8.53 x_{7} & +  7.21 x_{8} & -0.03 x_{22} & + 15.45 x_{10} & + 10.55 x_{11} & -0.36 x_{20} & +  1.42 x_{26} & +  0.48 x_{21} & + 21.56 x_{15}\\
 x_{5}   &  0.0514619701673 & -0.01 x_{18} & -0.03 x_{30} & -0.40 x_{14} & +  0.07 x_{4} & +  0.03 x_{24} & +  1.25 x_{2} & -0.44 x_{7} & +  0.85 x_{8} & +  0.06 x_{22} & -0.03 x_{10} & +  0.35 x_{11} & +  0.00 x_{20} & -0.02 x_{26} & +  0.00 x_{21} & +  0.03 x_{15}\\
 x_{25}   &  1.9522404088 & +  0.56 x_{18} & +  0.22 x_{30} & +  6.77 x_{14} & + 39.55 x_{4} & -0.88 x_{24} & -8.18 x_{2} & + 32.42 x_{7} & +  8.65 x_{8} & +  0.52 x_{22} & + 18.99 x_{10} & + 25.99 x_{11} & -0.82 x_{20} & +  2.05 x_{26} & +  2.05 x_{21} & + 41.41 x_{15}\\
 x_{13}   &  0.355757326622 & -0.04 x_{18} & -0.01 x_{30} & +  0.12 x_{14} & -0.59 x_{4} & +  0.07 x_{24} & -0.21 x_{2} & -0.66 x_{7} & -0.28 x_{8} & -0.06 x_{22} & +  0.92 x_{10} & -0.66 x_{11} & +  0.05 x_{20} & +  0.03 x_{26} & -0.05 x_{21} & -0.05 x_{15}\\
 x_{27}   &  4.46865984634 & +  1.02 x_{18} & -0.01 x_{30} & +  1.98 x_{14} & + 29.27 x_{4} & -0.30 x_{24} & -27.32 x_{2} & +  4.91 x_{7} & -1.47 x_{8} & -0.60 x_{22} & +  2.40 x_{10} & +  0.37 x_{11} & -0.17 x_{20} & +  1.75 x_{26} & +  0.38 x_{21} & + 17.54 x_{15}\\
 x_{28}   &  3.61432074661 & +  0.17 x_{18} & +  0.15 x_{30} & +  6.33 x_{14} & +  5.34 x_{4} & +  0.66 x_{24} & +  1.21 x_{2} & +  5.03 x_{7} & +  7.60 x_{8} & +  0.24 x_{22} & +  5.23 x_{10} & + 15.26 x_{11} & +  0.42 x_{20} & +  0.92 x_{26} & +  0.35 x_{21} & +  9.57 x_{15}\\
 x_{29}   &  4.49658991086 & -0.63 x_{18} & -0.12 x_{30} & +  7.49 x_{14} & +  6.33 x_{4} & -0.01 x_{24} & -17.79 x_{2} & +  8.94 x_{7} & +  0.34 x_{8} & -0.72 x_{22} & +  3.81 x_{10} & + 23.94 x_{11} & +  0.76 x_{20} & +  0.60 x_{26} & +  0.72 x_{21} & + 14.59 x_{15}\\
 x_{6}   &  0.0308438991026 & -0.04 x_{18} & +  0.05 x_{30} & -0.21 x_{14} & -0.71 x_{4} & -0.02 x_{24} & +  0.38 x_{2} & +  0.28 x_{7} & +  0.26 x_{8} & +  0.03 x_{22} & -0.10 x_{10} & +  0.31 x_{11} & +  0.00 x_{20} & -0.04 x_{26} & +  0.02 x_{21} & +  0.74 x_{15}\\
\hline
z    &  -0.943543391306 & -0.01 x_{18} & -0.11 x_{30} & -0.67 x_{14} & -2.58 x_{4} & -0.07 x_{24} & -0.39 x_{2} & -2.40 x_{7} & -1.09 x_{8} & -0.06 x_{22} & -2.11 x_{10} & -2.48 x_{11} & -0.06 x_{20} & -0.13 x_{26} & -0.15 x_{21} & -4.71 x_{15}\\
\end{array}\]
Primal Dictionary with original objective is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  6.48542271904 & -0.69 x_{18} & +  0.32 x_{30} & -11.37 x_{14} & -15.07 x_{4} & +  0.53 x_{24} & +  5.47 x_{2} & -6.17 x_{7} & +  9.79 x_{8} & -0.40 x_{22} & +  4.97 x_{10} & -1.87 x_{11} & +  0.61 x_{20} & -0.10 x_{26} & +  0.03 x_{21} & + 11.45 x_{15}\\
 x_{17}   &  0.314798768887 & -0.23 x_{18} & +  0.28 x_{30} & +  5.62 x_{14} & -2.35 x_{4} & -0.48 x_{24} & +  0.91 x_{2} & +  0.49 x_{7} & +  7.48 x_{8} & +  0.08 x_{22} & -15.59 x_{10} & + 10.77 x_{11} & -0.14 x_{20} & -0.73 x_{26} & +  0.56 x_{21} & +  4.84 x_{15}\\
 x_{3}   &  0.0695110291087 & +  0.01 x_{18} & +  0.02 x_{30} & -0.37 x_{14} & -0.85 x_{4} & +  0.04 x_{24} & +  0.55 x_{2} & -0.35 x_{7} & -0.19 x_{8} & +  0.01 x_{22} & -0.78 x_{10} & -0.95 x_{11} & +  0.03 x_{20} & -0.09 x_{26} & -0.02 x_{21} & -0.85 x_{15}\\
 x_{19}   &  7.57127324607 & -0.23 x_{18} & +  0.33 x_{30} & +  6.36 x_{14} & +  6.01 x_{4} & +  0.09 x_{24} & -9.16 x_{2} & + 11.19 x_{7} & -12.56 x_{8} & -0.69 x_{22} & + 12.05 x_{10} & + 10.26 x_{11} & +  0.39 x_{20} & +  1.57 x_{26} & +  0.26 x_{21} & +  9.70 x_{15}\\
 x_{12}   &  0.144161408111 & +  0.03 x_{18} & +  0.00 x_{30} & -0.19 x_{14} & +  0.24 x_{4} & +  0.00 x_{24} & -0.31 x_{2} & -0.21 x_{7} & +  0.07 x_{8} & +  0.02 x_{22} & -0.20 x_{10} & +  0.07 x_{11} & +  0.02 x_{20} & +  0.02 x_{26} & -0.02 x_{21} & -0.16 x_{15}\\
 x_{1}   &  0.183268313926 & +  0.03 x_{18} & +  0.05 x_{30} & +  0.43 x_{14} & +  0.83 x_{4} & +  0.02 x_{24} & -0.41 x_{2} & +  0.78 x_{7} & -0.76 x_{8} & +  0.00 x_{22} & +  0.83 x_{10} & -0.04 x_{11} & -0.04 x_{20} & +  0.07 x_{26} & +  0.06 x_{21} & +  1.49 x_{15}\\
 x_{9}   &  0.108539444268 & +  0.03 x_{18} & +  0.02 x_{30} & +  0.29 x_{14} & +  2.59 x_{4} & -0.08 x_{24} & -1.85 x_{2} & +  2.01 x_{7} & +  0.15 x_{8} & -0.02 x_{22} & +  0.48 x_{10} & +  2.41 x_{11} & -0.01 x_{20} & +  0.17 x_{26} & +  0.16 x_{21} & +  2.51 x_{15}\\
 x_{23}   &  4.05363911476 & +  0.00 x_{18} & -0.27 x_{30} & + 14.40 x_{14} & + 11.97 x_{4} & -0.05 x_{24} & -12.94 x_{2} & +  8.53 x_{7} & +  7.21 x_{8} & -0.03 x_{22} & + 15.45 x_{10} & + 10.55 x_{11} & -0.36 x_{20} & +  1.42 x_{26} & +  0.48 x_{21} & + 21.56 x_{15}\\
 x_{5}   &  0.0514619701673 & -0.01 x_{18} & -0.03 x_{30} & -0.40 x_{14} & +  0.07 x_{4} & +  0.03 x_{24} & +  1.25 x_{2} & -0.44 x_{7} & +  0.85 x_{8} & +  0.06 x_{22} & -0.03 x_{10} & +  0.35 x_{11} & +  0.00 x_{20} & -0.02 x_{26} & +  0.00 x_{21} & +  0.03 x_{15}\\
 x_{25}   &  1.9522404088 & +  0.56 x_{18} & +  0.22 x_{30} & +  6.77 x_{14} & + 39.55 x_{4} & -0.88 x_{24} & -8.18 x_{2} & + 32.42 x_{7} & +  8.65 x_{8} & +  0.52 x_{22} & + 18.99 x_{10} & + 25.99 x_{11} & -0.82 x_{20} & +  2.05 x_{26} & +  2.05 x_{21} & + 41.41 x_{15}\\
 x_{13}   &  0.355757326622 & -0.04 x_{18} & -0.01 x_{30} & +  0.12 x_{14} & -0.59 x_{4} & +  0.07 x_{24} & -0.21 x_{2} & -0.66 x_{7} & -0.28 x_{8} & -0.06 x_{22} & +  0.92 x_{10} & -0.66 x_{11} & +  0.05 x_{20} & +  0.03 x_{26} & -0.05 x_{21} & -0.05 x_{15}\\
 x_{27}   &  4.46865984634 & +  1.02 x_{18} & -0.01 x_{30} & +  1.98 x_{14} & + 29.27 x_{4} & -0.30 x_{24} & -27.32 x_{2} & +  4.91 x_{7} & -1.47 x_{8} & -0.60 x_{22} & +  2.40 x_{10} & +  0.37 x_{11} & -0.17 x_{20} & +  1.75 x_{26} & +  0.38 x_{21} & + 17.54 x_{15}\\
 x_{28}   &  3.61432074661 & +  0.17 x_{18} & +  0.15 x_{30} & +  6.33 x_{14} & +  5.34 x_{4} & +  0.66 x_{24} & +  1.21 x_{2} & +  5.03 x_{7} & +  7.60 x_{8} & +  0.24 x_{22} & +  5.23 x_{10} & + 15.26 x_{11} & +  0.42 x_{20} & +  0.92 x_{26} & +  0.35 x_{21} & +  9.57 x_{15}\\
 x_{29}   &  4.49658991086 & -0.63 x_{18} & -0.12 x_{30} & +  7.49 x_{14} & +  6.33 x_{4} & -0.01 x_{24} & -17.79 x_{2} & +  8.94 x_{7} & +  0.34 x_{8} & -0.72 x_{22} & +  3.81 x_{10} & + 23.94 x_{11} & +  0.76 x_{20} & +  0.60 x_{26} & +  0.72 x_{21} & + 14.59 x_{15}\\
 x_{6}   &  0.0308438991026 & -0.04 x_{18} & +  0.05 x_{30} & -0.21 x_{14} & -0.71 x_{4} & -0.02 x_{24} & +  0.38 x_{2} & +  0.28 x_{7} & +  0.26 x_{8} & +  0.03 x_{22} & -0.10 x_{10} & +  0.31 x_{11} & +  0.00 x_{20} & -0.04 x_{26} & +  0.02 x_{21} & +  0.74 x_{15}\\
\hline
z    &  1.61770302798 & -0.20 x_{18} & +  0.15 x_{30} & +  2.75 x_{14} & -5.01 x_{4} & +  0.19 x_{24} & -4.10 x_{2} & +  1.11 x_{7} & +  2.15 x_{8} & -0.20 x_{22} & -0.45 x_{10} & -2.11 x_{11} & +  0.22 x_{20} & +  0.14 x_{26} & -0.50 x_{21} & +  4.20 x_{15}\\
\end{array}\]
\section{Optimization Phase Simplex}
Starting Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  6.48542271904 & -0.69 x_{18} & +  0.32 x_{30} & -11.37 x_{14} & -15.07 x_{4} & +  0.53 x_{24} & +  5.47 x_{2} & -6.17 x_{7} & +  9.79 x_{8} & -0.40 x_{22} & +  4.97 x_{10} & -1.87 x_{11} & +  0.61 x_{20} & -0.10 x_{26} & +  0.03 x_{21} & + 11.45 x_{15}\\
 x_{17}   &  0.314798768887 & -0.23 x_{18} & +  0.28 x_{30} & +  5.62 x_{14} & -2.35 x_{4} & -0.48 x_{24} & +  0.91 x_{2} & +  0.49 x_{7} & +  7.48 x_{8} & +  0.08 x_{22} & -15.59 x_{10} & + 10.77 x_{11} & -0.14 x_{20} & -0.73 x_{26} & +  0.56 x_{21} & +  4.84 x_{15}\\
 x_{3}   &  0.0695110291087 & +  0.01 x_{18} & +  0.02 x_{30} & -0.37 x_{14} & -0.85 x_{4} & +  0.04 x_{24} & +  0.55 x_{2} & -0.35 x_{7} & -0.19 x_{8} & +  0.01 x_{22} & -0.78 x_{10} & -0.95 x_{11} & +  0.03 x_{20} & -0.09 x_{26} & -0.02 x_{21} & -0.85 x_{15}\\
 x_{19}   &  7.57127324607 & -0.23 x_{18} & +  0.33 x_{30} & +  6.36 x_{14} & +  6.01 x_{4} & +  0.09 x_{24} & -9.16 x_{2} & + 11.19 x_{7} & -12.56 x_{8} & -0.69 x_{22} & + 12.05 x_{10} & + 10.26 x_{11} & +  0.39 x_{20} & +  1.57 x_{26} & +  0.26 x_{21} & +  9.70 x_{15}\\
 x_{12}   &  0.144161408111 & +  0.03 x_{18} & +  0.00 x_{30} & -0.19 x_{14} & +  0.24 x_{4} & +  0.00 x_{24} & -0.31 x_{2} & -0.21 x_{7} & +  0.07 x_{8} & +  0.02 x_{22} & -0.20 x_{10} & +  0.07 x_{11} & +  0.02 x_{20} & +  0.02 x_{26} & -0.02 x_{21} & -0.16 x_{15}\\
 x_{1}   &  0.183268313926 & +  0.03 x_{18} & +  0.05 x_{30} & +  0.43 x_{14} & +  0.83 x_{4} & +  0.02 x_{24} & -0.41 x_{2} & +  0.78 x_{7} & -0.76 x_{8} & +  0.00 x_{22} & +  0.83 x_{10} & -0.04 x_{11} & -0.04 x_{20} & +  0.07 x_{26} & +  0.06 x_{21} & +  1.49 x_{15}\\
 x_{9}   &  0.108539444268 & +  0.03 x_{18} & +  0.02 x_{30} & +  0.29 x_{14} & +  2.59 x_{4} & -0.08 x_{24} & -1.85 x_{2} & +  2.01 x_{7} & +  0.15 x_{8} & -0.02 x_{22} & +  0.48 x_{10} & +  2.41 x_{11} & -0.01 x_{20} & +  0.17 x_{26} & +  0.16 x_{21} & +  2.51 x_{15}\\
 x_{23}   &  4.05363911476 & +  0.00 x_{18} & -0.27 x_{30} & + 14.40 x_{14} & + 11.97 x_{4} & -0.05 x_{24} & -12.94 x_{2} & +  8.53 x_{7} & +  7.21 x_{8} & -0.03 x_{22} & + 15.45 x_{10} & + 10.55 x_{11} & -0.36 x_{20} & +  1.42 x_{26} & +  0.48 x_{21} & + 21.56 x_{15}\\
 x_{5}   &  0.0514619701673 & -0.01 x_{18} & -0.03 x_{30} & -0.40 x_{14} & +  0.07 x_{4} & +  0.03 x_{24} & +  1.25 x_{2} & -0.44 x_{7} & +  0.85 x_{8} & +  0.06 x_{22} & -0.03 x_{10} & +  0.35 x_{11} & +  0.00 x_{20} & -0.02 x_{26} & +  0.00 x_{21} & +  0.03 x_{15}\\
 x_{25}   &  1.9522404088 & +  0.56 x_{18} & +  0.22 x_{30} & +  6.77 x_{14} & + 39.55 x_{4} & -0.88 x_{24} & -8.18 x_{2} & + 32.42 x_{7} & +  8.65 x_{8} & +  0.52 x_{22} & + 18.99 x_{10} & + 25.99 x_{11} & -0.82 x_{20} & +  2.05 x_{26} & +  2.05 x_{21} & + 41.41 x_{15}\\
 x_{13}   &  0.355757326622 & -0.04 x_{18} & -0.01 x_{30} & +  0.12 x_{14} & -0.59 x_{4} & +  0.07 x_{24} & -0.21 x_{2} & -0.66 x_{7} & -0.28 x_{8} & -0.06 x_{22} & +  0.92 x_{10} & -0.66 x_{11} & +  0.05 x_{20} & +  0.03 x_{26} & -0.05 x_{21} & -0.05 x_{15}\\
 x_{27}   &  4.46865984634 & +  1.02 x_{18} & -0.01 x_{30} & +  1.98 x_{14} & + 29.27 x_{4} & -0.30 x_{24} & -27.32 x_{2} & +  4.91 x_{7} & -1.47 x_{8} & -0.60 x_{22} & +  2.40 x_{10} & +  0.37 x_{11} & -0.17 x_{20} & +  1.75 x_{26} & +  0.38 x_{21} & + 17.54 x_{15}\\
 x_{28}   &  3.61432074661 & +  0.17 x_{18} & +  0.15 x_{30} & +  6.33 x_{14} & +  5.34 x_{4} & +  0.66 x_{24} & +  1.21 x_{2} & +  5.03 x_{7} & +  7.60 x_{8} & +  0.24 x_{22} & +  5.23 x_{10} & + 15.26 x_{11} & +  0.42 x_{20} & +  0.92 x_{26} & +  0.35 x_{21} & +  9.57 x_{15}\\
 x_{29}   &  4.49658991086 & -0.63 x_{18} & -0.12 x_{30} & +  7.49 x_{14} & +  6.33 x_{4} & -0.01 x_{24} & -17.79 x_{2} & +  8.94 x_{7} & +  0.34 x_{8} & -0.72 x_{22} & +  3.81 x_{10} & + 23.94 x_{11} & +  0.76 x_{20} & +  0.60 x_{26} & +  0.72 x_{21} & + 14.59 x_{15}\\
 x_{6}   &  0.0308438991026 & -0.04 x_{18} & +  0.05 x_{30} & -0.21 x_{14} & -0.71 x_{4} & -0.02 x_{24} & +  0.38 x_{2} & +  0.28 x_{7} & +  0.26 x_{8} & +  0.03 x_{22} & -0.10 x_{10} & +  0.31 x_{11} & +  0.00 x_{20} & -0.04 x_{26} & +  0.02 x_{21} & +  0.74 x_{15}\\
\hline
z    &  1.61770302798 & -0.20 x_{18} & +  0.15 x_{30} & +  2.75 x_{14} & -5.01 x_{4} & +  0.19 x_{24} & -4.10 x_{2} & +  1.11 x_{7} & +  2.15 x_{8} & -0.20 x_{22} & -0.45 x_{10} & -2.11 x_{11} & +  0.22 x_{20} & +  0.14 x_{26} & -0.50 x_{21} & +  4.20 x_{15}\\
\end{array}\]


 $ x_{7} $ enters and $ x_{5} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  5.76468668001 & -0.51 x_{18} & +  0.71 x_{30} & -5.83 x_{14} & -15.99 x_{4} & +  0.16 x_{24} & -11.97 x_{2} & + 14.01 x_{5} & -2.17 x_{8} & -1.24 x_{22} & +  5.45 x_{10} & -6.75 x_{11} & +  0.57 x_{20} & +  0.19 x_{26} & -0.03 x_{21} & + 11.00 x_{15}\\
 x_{17}   &  0.371630966915 & -0.25 x_{18} & +  0.25 x_{30} & +  5.19 x_{14} & -2.28 x_{4} & -0.45 x_{24} & +  2.28 x_{2} & -1.10 x_{5} & +  8.43 x_{8} & +  0.15 x_{22} & -15.63 x_{10} & + 11.15 x_{11} & -0.14 x_{20} & -0.76 x_{26} & +  0.56 x_{21} & +  4.87 x_{15}\\
 x_{3}   &  0.0286768431787 & +  0.02 x_{18} & +  0.04 x_{30} & -0.06 x_{14} & -0.90 x_{4} & +  0.01 x_{24} & -0.44 x_{2} & +  0.79 x_{5} & -0.87 x_{8} & -0.03 x_{22} & -0.75 x_{10} & -1.23 x_{11} & +  0.03 x_{20} & -0.08 x_{26} & -0.02 x_{21} & -0.88 x_{15}\\
 x_{19}   &  8.8780835381 & -0.56 x_{18} & -0.37 x_{30} & -3.68 x_{14} & +  7.68 x_{4} & +  0.76 x_{24} & + 22.47 x_{2} & -25.39 x_{5} & +  9.14 x_{8} & +  0.84 x_{22} & + 11.19 x_{10} & + 19.10 x_{11} & +  0.46 x_{20} & +  1.05 x_{26} & +  0.37 x_{21} & + 10.52 x_{15}\\
 x_{12}   &  0.119463687626 & +  0.03 x_{18} & +  0.02 x_{30} & -0.00 x_{14} & +  0.21 x_{4} & -0.01 x_{24} & -0.91 x_{2} & +  0.48 x_{5} & -0.34 x_{8} & -0.01 x_{22} & -0.19 x_{10} & -0.10 x_{11} & +  0.02 x_{20} & +  0.03 x_{26} & -0.03 x_{21} & -0.18 x_{15}\\
 x_{1}   &  0.273767203651 & +  0.01 x_{18} & -0.00 x_{30} & -0.26 x_{14} & +  0.95 x_{4} & +  0.06 x_{24} & +  1.78 x_{2} & -1.76 x_{5} & +  0.74 x_{8} & +  0.11 x_{22} & +  0.77 x_{10} & +  0.57 x_{11} & -0.03 x_{20} & +  0.04 x_{26} & +  0.06 x_{21} & +  1.55 x_{15}\\
 x_{9}   &  0.343355110441 & -0.03 x_{18} & -0.10 x_{30} & -1.52 x_{14} & +  2.89 x_{4} & +  0.04 x_{24} & +  3.83 x_{2} & -4.56 x_{5} & +  4.05 x_{8} & +  0.26 x_{22} & +  0.32 x_{10} & +  4.00 x_{11} & +  0.00 x_{20} & +  0.07 x_{26} & +  0.18 x_{21} & +  2.66 x_{15}\\
 x_{23}   &  5.04938430289 & -0.24 x_{18} & -0.80 x_{30} & +  6.75 x_{14} & + 13.24 x_{4} & +  0.46 x_{24} & + 11.16 x_{2} & -19.35 x_{5} & + 23.74 x_{8} & +  1.14 x_{22} & + 14.79 x_{10} & + 17.29 x_{11} & -0.30 x_{20} & +  1.02 x_{26} & +  0.55 x_{21} & + 22.19 x_{15}\\
 x_{7}   &  0.116734474493 & -0.03 x_{18} & -0.06 x_{30} & -0.90 x_{14} & +  0.15 x_{4} & +  0.06 x_{24} & +  2.83 x_{2} & -2.27 x_{5} & +  1.94 x_{8} & +  0.14 x_{22} & -0.08 x_{10} & +  0.79 x_{11} & +  0.01 x_{20} & -0.05 x_{26} & +  0.01 x_{21} & +  0.07 x_{15}\\
 x_{25}   &  5.73714419423 & -0.38 x_{18} & -1.81 x_{30} & -22.30 x_{14} & + 44.38 x_{4} & +  1.06 x_{24} & + 83.42 x_{2} & -73.55 x_{5} & + 71.49 x_{8} & +  4.95 x_{22} & + 16.49 x_{10} & + 51.60 x_{11} & -0.61 x_{20} & +  0.54 x_{26} & +  2.34 x_{21} & + 43.78 x_{15}\\
 x_{13}   &  0.278631982179 & -0.02 x_{18} & +  0.03 x_{30} & +  0.72 x_{14} & -0.69 x_{4} & +  0.04 x_{24} & -2.08 x_{2} & +  1.50 x_{5} & -1.56 x_{8} & -0.15 x_{22} & +  0.97 x_{10} & -1.19 x_{11} & +  0.05 x_{20} & +  0.06 x_{26} & -0.06 x_{21} & -0.10 x_{15}\\
 x_{27}   &  5.04151492133 & +  0.87 x_{18} & -0.32 x_{30} & -2.42 x_{14} & + 30.00 x_{4} & -0.01 x_{24} & -13.45 x_{2} & -11.13 x_{5} & +  8.05 x_{8} & +  0.07 x_{22} & +  2.02 x_{10} & +  4.25 x_{11} & -0.14 x_{20} & +  1.52 x_{26} & +  0.42 x_{21} & + 17.90 x_{15}\\
 x_{28}   &  4.20135826379 & +  0.02 x_{18} & -0.16 x_{30} & +  1.82 x_{14} & +  6.09 x_{4} & +  0.96 x_{24} & + 15.42 x_{2} & -11.41 x_{5} & + 17.35 x_{8} & +  0.92 x_{22} & +  4.85 x_{10} & + 19.23 x_{11} & +  0.45 x_{20} & +  0.68 x_{26} & +  0.40 x_{21} & +  9.94 x_{15}\\
 x_{29}   &  5.53978097203 & -0.88 x_{18} & -0.68 x_{30} & -0.52 x_{14} & +  7.66 x_{4} & +  0.53 x_{24} & +  7.46 x_{2} & -20.27 x_{5} & + 17.66 x_{8} & +  0.50 x_{22} & +  3.12 x_{10} & + 30.99 x_{11} & +  0.82 x_{20} & +  0.18 x_{26} & +  0.81 x_{21} & + 15.25 x_{15}\\
 x_{6}   &  0.0632365263502 & -0.05 x_{18} & +  0.04 x_{30} & -0.46 x_{14} & -0.67 x_{4} & +  0.00 x_{24} & +  1.16 x_{2} & -0.63 x_{5} & +  0.80 x_{8} & +  0.07 x_{22} & -0.12 x_{10} & +  0.53 x_{11} & +  0.01 x_{20} & -0.05 x_{26} & +  0.02 x_{21} & +  0.76 x_{15}\\
\hline
z    &  1.74704725112 & -0.23 x_{18} & +  0.08 x_{30} & +  1.76 x_{14} & -4.84 x_{4} & +  0.26 x_{24} & -0.97 x_{2} & -2.51 x_{5} & +  4.30 x_{8} & -0.04 x_{22} & -0.54 x_{10} & -1.24 x_{11} & +  0.22 x_{20} & +  0.09 x_{26} & -0.49 x_{21} & +  4.28 x_{15}\\
\end{array}\]


 $ x_{8} $ enters and $ x_{3} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  5.69303827527 & -0.56 x_{18} & +  0.60 x_{30} & -5.70 x_{14} & -13.74 x_{4} & +  0.13 x_{24} & -10.87 x_{2} & + 12.02 x_{5} & +  2.50 x_{3} & -1.16 x_{22} & +  7.33 x_{10} & -3.68 x_{11} & +  0.50 x_{20} & +  0.38 x_{26} & +  0.03 x_{21} & + 13.19 x_{15}\\
 x_{17}   &  0.649560280163 & -0.07 x_{18} & +  0.67 x_{30} & +  4.65 x_{14} & -10.99 x_{4} & -0.30 x_{24} & -1.97 x_{2} & +  6.59 x_{5} & -9.69 x_{3} & -0.18 x_{22} & -22.93 x_{10} & -0.76 x_{11} & +  0.14 x_{20} & -1.51 x_{26} & +  0.33 x_{21} & -3.61 x_{15}\\
 x_{8}   &  0.0329811794521 & +  0.02 x_{18} & +  0.05 x_{30} & -0.06 x_{14} & -1.03 x_{4} & +  0.02 x_{24} & -0.50 x_{2} & +  0.91 x_{5} & -1.15 x_{3} & -0.04 x_{22} & -0.87 x_{10} & -1.41 x_{11} & +  0.03 x_{20} & -0.09 x_{26} & -0.03 x_{21} & -1.01 x_{15}\\
 x_{19}   &  9.17954917708 & -0.36 x_{18} & +  0.10 x_{30} & -4.26 x_{14} & -1.77 x_{4} & +  0.92 x_{24} & + 17.85 x_{2} & -17.05 x_{5} & -10.51 x_{3} & +  0.49 x_{22} & +  3.27 x_{10} & +  6.19 x_{11} & +  0.76 x_{20} & +  0.24 x_{26} & +  0.11 x_{21} & +  1.32 x_{15}\\
 x_{12}   &  0.108127045635 & +  0.03 x_{18} & -0.00 x_{30} & +  0.02 x_{14} & +  0.57 x_{4} & -0.01 x_{24} & -0.73 x_{2} & +  0.17 x_{5} & +  0.40 x_{3} & +  0.01 x_{22} & +  0.11 x_{10} & +  0.39 x_{11} & +  0.01 x_{20} & +  0.06 x_{26} & -0.02 x_{21} & +  0.17 x_{15}\\
 x_{1}   &  0.298176175063 & +  0.02 x_{18} & +  0.04 x_{30} & -0.31 x_{14} & +  0.18 x_{4} & +  0.08 x_{24} & +  1.41 x_{2} & -1.08 x_{5} & -0.85 x_{3} & +  0.08 x_{22} & +  0.12 x_{10} & -0.48 x_{11} & -0.01 x_{20} & -0.03 x_{26} & +  0.04 x_{21} & +  0.80 x_{15}\\
 x_{9}   &  0.476841690001 & +  0.06 x_{18} & +  0.10 x_{30} & -1.78 x_{14} & -1.29 x_{4} & +  0.11 x_{24} & +  1.79 x_{2} & -0.87 x_{5} & -4.65 x_{3} & +  0.10 x_{22} & -3.19 x_{10} & -1.72 x_{11} & +  0.13 x_{20} & -0.29 x_{26} & +  0.07 x_{21} & -1.41 x_{15}\\
 x_{23}   &  5.83227856068 & +  0.27 x_{18} & +  0.40 x_{30} & +  5.24 x_{14} & -11.29 x_{4} & +  0.87 x_{24} & -0.82 x_{2} & +  2.31 x_{5} & -27.30 x_{3} & +  0.22 x_{22} & -5.78 x_{10} & -16.26 x_{11} & +  0.46 x_{20} & -1.09 x_{26} & -0.10 x_{21} & -1.71 x_{15}\\
 x_{7}   &  0.180657152842 & +  0.01 x_{18} & +  0.04 x_{30} & -1.02 x_{14} & -1.85 x_{4} & +  0.09 x_{24} & +  1.85 x_{2} & -0.50 x_{5} & -2.23 x_{3} & +  0.06 x_{22} & -1.76 x_{10} & -1.95 x_{11} & +  0.07 x_{20} & -0.22 x_{26} & -0.04 x_{21} & -1.88 x_{15}\\
 x_{25}   &  8.09486945937 & +  1.16 x_{18} & +  1.81 x_{30} & -26.86 x_{14} & -29.50 x_{4} & +  2.28 x_{24} & + 47.33 x_{2} & -8.31 x_{5} & -82.22 x_{3} & +  2.20 x_{22} & -45.45 x_{10} & -49.43 x_{11} & +  1.68 x_{20} & -5.81 x_{26} & +  0.36 x_{21} & -28.19 x_{15}\\
 x_{13}   &  0.227118864904 & -0.05 x_{18} & -0.04 x_{30} & +  0.81 x_{14} & +  0.93 x_{4} & +  0.01 x_{24} & -1.29 x_{2} & +  0.07 x_{5} & +  1.80 x_{3} & -0.09 x_{22} & +  2.33 x_{10} & +  1.02 x_{11} & -0.00 x_{20} & +  0.20 x_{26} & -0.01 x_{21} & +  1.47 x_{15}\\
 x_{27}   &  5.30688322703 & +  1.05 x_{18} & +  0.09 x_{30} & -2.93 x_{14} & + 21.69 x_{4} & +  0.13 x_{24} & -17.51 x_{2} & -3.79 x_{5} & -9.25 x_{3} & -0.24 x_{22} & -4.95 x_{10} & -7.12 x_{11} & +  0.12 x_{20} & +  0.81 x_{26} & +  0.20 x_{21} & +  9.80 x_{15}\\
 x_{28}   &  4.77361174281 & +  0.39 x_{18} & +  0.71 x_{30} & +  0.72 x_{14} & -11.84 x_{4} & +  1.26 x_{24} & +  6.66 x_{2} & +  4.43 x_{5} & -19.96 x_{3} & +  0.26 x_{22} & -10.19 x_{10} & -5.29 x_{11} & +  1.01 x_{20} & -0.86 x_{26} & -0.09 x_{21} & -7.53 x_{15}\\
 x_{29}   &  6.12225510386 & -0.50 x_{18} & +  0.21 x_{30} & -1.65 x_{14} & -10.59 x_{4} & +  0.83 x_{24} & -1.46 x_{2} & -4.15 x_{5} & -20.31 x_{3} & -0.17 x_{22} & -12.18 x_{10} & +  6.04 x_{11} & +  1.38 x_{20} & -1.39 x_{26} & +  0.32 x_{21} & -2.53 x_{15}\\
 x_{6}   &  0.0895200340049 & -0.03 x_{18} & +  0.08 x_{30} & -0.51 x_{14} & -1.50 x_{4} & +  0.02 x_{24} & +  0.76 x_{2} & +  0.10 x_{5} & -0.92 x_{3} & +  0.04 x_{22} & -0.81 x_{10} & -0.60 x_{11} & +  0.03 x_{20} & -0.12 x_{26} & +  0.00 x_{21} & -0.05 x_{15}\\
\hline
z    &  1.88871792583 & -0.14 x_{18} & +  0.30 x_{30} & +  1.49 x_{14} & -9.28 x_{4} & +  0.33 x_{24} & -3.14 x_{2} & +  1.41 x_{5} & -4.94 x_{3} & -0.21 x_{22} & -4.26 x_{10} & -7.31 x_{11} & +  0.36 x_{20} & -0.29 x_{26} & -0.61 x_{21} & -0.04 x_{15}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{1} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  9.00267405906 & -0.29 x_{18} & +  0.99 x_{30} & -9.14 x_{14} & -11.70 x_{4} & +  0.98 x_{24} & +  4.73 x_{2} & -11.10 x_{1} & -6.95 x_{3} & -0.24 x_{22} & +  8.71 x_{10} & -8.98 x_{11} & +  0.41 x_{20} & +  0.04 x_{26} & +  0.52 x_{21} & + 22.11 x_{15}\\
 x_{17}   &  2.46253803868 & +  0.08 x_{18} & +  0.89 x_{30} & +  2.76 x_{14} & -9.87 x_{4} & +  0.16 x_{24} & +  6.58 x_{2} & -6.08 x_{1} & -14.87 x_{3} & +  0.32 x_{22} & -22.17 x_{10} & -3.66 x_{11} & +  0.08 x_{20} & -1.69 x_{26} & +  0.60 x_{21} & +  1.28 x_{15}\\
 x_{8}   &  0.284198652152 & +  0.04 x_{18} & +  0.08 x_{30} & -0.33 x_{14} & -0.88 x_{4} & +  0.08 x_{24} & +  0.68 x_{2} & -0.84 x_{1} & -1.87 x_{3} & +  0.03 x_{22} & -0.76 x_{10} & -1.82 x_{11} & +  0.03 x_{20} & -0.11 x_{26} & +  0.01 x_{21} & -0.33 x_{15}\\
 x_{19}   &  4.48538534243 & -0.75 x_{18} & -0.46 x_{30} & +  0.63 x_{14} & -4.66 x_{4} & -0.30 x_{24} & -4.28 x_{2} & + 15.74 x_{1} & +  2.89 x_{3} & -0.81 x_{22} & +  1.31 x_{10} & + 13.71 x_{11} & +  0.89 x_{20} & +  0.72 x_{26} & -0.58 x_{21} & -11.34 x_{15}\\
 x_{12}   &  0.153889637314 & +  0.03 x_{18} & +  0.00 x_{30} & -0.03 x_{14} & +  0.59 x_{4} & -0.00 x_{24} & -0.52 x_{2} & -0.15 x_{1} & +  0.26 x_{3} & +  0.02 x_{22} & +  0.13 x_{10} & +  0.31 x_{11} & +  0.01 x_{20} & +  0.05 x_{26} & -0.01 x_{21} & +  0.29 x_{15}\\
 x_{5}   &  0.275281805342 & +  0.02 x_{18} & +  0.03 x_{30} & -0.29 x_{14} & +  0.17 x_{4} & +  0.07 x_{24} & +  1.30 x_{2} & -0.92 x_{1} & -0.79 x_{3} & +  0.08 x_{22} & +  0.11 x_{10} & -0.44 x_{11} & -0.01 x_{20} & -0.03 x_{26} & +  0.04 x_{21} & +  0.74 x_{15}\\
 x_{9}   &  0.237525766582 & +  0.04 x_{18} & +  0.07 x_{30} & -1.53 x_{14} & -1.44 x_{4} & +  0.05 x_{24} & +  0.66 x_{2} & +  0.80 x_{1} & -3.97 x_{3} & +  0.04 x_{22} & -3.29 x_{10} & -1.34 x_{11} & +  0.14 x_{20} & -0.26 x_{26} & +  0.03 x_{21} & -2.06 x_{15}\\
 x_{23}   &  6.46911214156 & +  0.32 x_{18} & +  0.47 x_{30} & +  4.57 x_{14} & -10.90 x_{4} & +  1.03 x_{24} & +  2.18 x_{2} & -2.14 x_{1} & -29.12 x_{3} & +  0.40 x_{22} & -5.51 x_{10} & -17.28 x_{11} & +  0.44 x_{20} & -1.15 x_{26} & -0.01 x_{21} & +  0.01 x_{15}\\
 x_{7}   &  0.0431165570612 & +  0.00 x_{18} & +  0.02 x_{30} & -0.88 x_{14} & -1.94 x_{4} & +  0.06 x_{24} & +  1.20 x_{2} & +  0.46 x_{1} & -1.84 x_{3} & +  0.02 x_{22} & -1.81 x_{10} & -1.73 x_{11} & +  0.07 x_{20} & -0.20 x_{26} & -0.07 x_{21} & -2.25 x_{15}\\
 x_{25}   &  5.80733773151 & +  0.97 x_{18} & +  1.54 x_{30} & -24.48 x_{14} & -30.91 x_{4} & +  1.69 x_{24} & + 36.55 x_{2} & +  7.67 x_{1} & -75.69 x_{3} & +  1.57 x_{22} & -46.41 x_{10} & -45.76 x_{11} & +  1.75 x_{20} & -5.57 x_{26} & +  0.02 x_{21} & -34.35 x_{15}\\
 x_{13}   &  0.247304760386 & -0.05 x_{18} & -0.04 x_{30} & +  0.79 x_{14} & +  0.94 x_{4} & +  0.01 x_{24} & -1.19 x_{2} & -0.07 x_{1} & +  1.74 x_{3} & -0.08 x_{22} & +  2.33 x_{10} & +  0.99 x_{11} & -0.01 x_{20} & +  0.20 x_{26} & -0.01 x_{21} & +  1.53 x_{15}\\
 x_{27}   &  4.2638598984 & +  0.96 x_{18} & -0.03 x_{30} & -1.84 x_{14} & + 21.04 x_{4} & -0.14 x_{24} & -22.43 x_{2} & +  3.50 x_{1} & -6.28 x_{3} & -0.52 x_{22} & -5.39 x_{10} & -5.45 x_{11} & +  0.15 x_{20} & +  0.92 x_{26} & +  0.04 x_{21} & +  6.98 x_{15}\\
 x_{28}   &  5.99226607144 & +  0.49 x_{18} & +  0.86 x_{30} & -0.55 x_{14} & -11.09 x_{4} & +  1.57 x_{24} & + 12.41 x_{2} & -4.09 x_{1} & -23.43 x_{3} & +  0.59 x_{22} & -9.68 x_{10} & -7.24 x_{11} & +  0.97 x_{20} & -0.98 x_{26} & +  0.09 x_{21} & -4.25 x_{15}\\
 x_{29}   &  4.97869083896 & -0.60 x_{18} & +  0.08 x_{30} & -0.46 x_{14} & -11.30 x_{4} & +  0.54 x_{24} & -6.85 x_{2} & +  3.84 x_{1} & -17.05 x_{3} & -0.49 x_{22} & -12.66 x_{10} & +  7.87 x_{11} & +  1.42 x_{20} & -1.27 x_{26} & +  0.15 x_{21} & -5.61 x_{15}\\
 x_{6}   &  0.116445830757 & -0.03 x_{18} & +  0.08 x_{30} & -0.54 x_{14} & -1.48 x_{4} & +  0.02 x_{24} & +  0.89 x_{2} & -0.09 x_{1} & -0.99 x_{3} & +  0.05 x_{22} & -0.80 x_{10} & -0.64 x_{11} & +  0.03 x_{20} & -0.13 x_{26} & +  0.01 x_{21} & +  0.03 x_{15}\\
\hline
z    &  2.27593099587 & -0.11 x_{18} & +  0.35 x_{30} & +  1.08 x_{14} & -9.04 x_{4} & +  0.43 x_{24} & -1.31 x_{2} & -1.30 x_{1} & -6.05 x_{3} & -0.10 x_{22} & -4.10 x_{10} & -7.93 x_{11} & +  0.35 x_{20} & -0.33 x_{26} & -0.55 x_{21} & +  1.00 x_{15}\\
\end{array}\]


 $ x_{14} $ enters and $ x_{7} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  8.55331657178 & -0.30 x_{18} & +  0.79 x_{30} & + 10.42 x_{7} & +  8.50 x_{4} & +  0.39 x_{24} & -7.76 x_{2} & -15.91 x_{1} & + 12.19 x_{3} & -0.49 x_{22} & + 27.62 x_{10} & +  9.04 x_{11} & -0.35 x_{20} & +  2.17 x_{26} & +  1.20 x_{21} & + 45.55 x_{15}\\
 x_{17}   &  2.59833048721 & +  0.09 x_{18} & +  0.95 x_{30} & -3.15 x_{7} & -15.98 x_{4} & +  0.34 x_{24} & + 10.35 x_{2} & -4.63 x_{1} & -20.65 x_{3} & +  0.40 x_{22} & -27.89 x_{10} & -9.11 x_{11} & +  0.31 x_{20} & -2.34 x_{26} & +  0.39 x_{21} & -5.81 x_{15}\\
 x_{8}   &  0.268201436924 & +  0.04 x_{18} & +  0.07 x_{30} & +  0.37 x_{7} & -0.16 x_{4} & +  0.06 x_{24} & +  0.24 x_{2} & -1.01 x_{1} & -1.19 x_{3} & +  0.02 x_{22} & -0.09 x_{10} & -1.17 x_{11} & -0.00 x_{20} & -0.04 x_{26} & +  0.03 x_{21} & +  0.50 x_{15}\\
 x_{19}   &  4.51616719914 & -0.75 x_{18} & -0.45 x_{30} & -0.71 x_{7} & -6.04 x_{4} & -0.26 x_{24} & -3.43 x_{2} & + 16.07 x_{1} & +  1.58 x_{3} & -0.79 x_{22} & +  0.01 x_{10} & + 12.47 x_{11} & +  0.94 x_{20} & +  0.57 x_{26} & -0.63 x_{21} & -12.94 x_{15}\\
 x_{12}   &  0.152381664259 & +  0.03 x_{18} & +  0.00 x_{30} & +  0.03 x_{7} & +  0.66 x_{4} & -0.00 x_{24} & -0.56 x_{2} & -0.17 x_{1} & +  0.33 x_{3} & +  0.02 x_{22} & +  0.19 x_{10} & +  0.38 x_{11} & +  0.01 x_{20} & +  0.06 x_{26} & -0.01 x_{21} & +  0.37 x_{15}\\
 x_{5}   &  0.261194159355 & +  0.02 x_{18} & +  0.03 x_{30} & +  0.33 x_{7} & +  0.80 x_{4} & +  0.05 x_{24} & +  0.91 x_{2} & -1.07 x_{1} & -0.19 x_{3} & +  0.07 x_{22} & +  0.71 x_{10} & +  0.12 x_{11} & -0.03 x_{20} & +  0.04 x_{26} & +  0.06 x_{21} & +  1.48 x_{15}\\
 x_{9}   &  0.162430214404 & +  0.03 x_{18} & +  0.04 x_{30} & +  1.74 x_{7} & +  1.94 x_{4} & -0.05 x_{24} & -1.43 x_{2} & -0.00 x_{1} & -0.77 x_{3} & -0.01 x_{22} & -0.13 x_{10} & +  1.67 x_{11} & +  0.01 x_{20} & +  0.10 x_{26} & +  0.15 x_{21} & +  1.86 x_{15}\\
 x_{23}   &  6.69395691089 & +  0.33 x_{18} & +  0.57 x_{30} & -5.21 x_{7} & -21.01 x_{4} & +  1.33 x_{24} & +  8.43 x_{2} & +  0.27 x_{1} & -38.70 x_{3} & +  0.52 x_{22} & -14.97 x_{10} & -26.30 x_{11} & +  0.82 x_{20} & -2.22 x_{26} & -0.35 x_{21} & -11.72 x_{15}\\
 x_{14}   &  0.0491548949658 & +  0.00 x_{18} & +  0.02 x_{30} & -1.14 x_{7} & -2.21 x_{4} & +  0.07 x_{24} & +  1.37 x_{2} & +  0.53 x_{1} & -2.09 x_{3} & +  0.03 x_{22} & -2.07 x_{10} & -1.97 x_{11} & +  0.08 x_{20} & -0.23 x_{26} & -0.07 x_{21} & -2.56 x_{15}\\
 x_{25}   &  4.60389149479 & +  0.93 x_{18} & +  1.00 x_{30} & + 27.91 x_{7} & + 23.20 x_{4} & +  0.09 x_{24} & +  3.10 x_{2} & -5.20 x_{1} & -24.43 x_{3} & +  0.90 x_{22} & +  4.22 x_{10} & +  2.49 x_{11} & -0.28 x_{20} & +  0.14 x_{26} & +  1.83 x_{21} & + 28.41 x_{15}\\
 x_{13}   &  0.286329036623 & -0.05 x_{18} & -0.02 x_{30} & -0.91 x_{7} & -0.82 x_{4} & +  0.07 x_{24} & -0.11 x_{2} & +  0.35 x_{1} & +  0.08 x_{3} & -0.06 x_{22} & +  0.69 x_{10} & -0.58 x_{11} & +  0.06 x_{20} & +  0.01 x_{26} & -0.07 x_{21} & -0.51 x_{15}\\
 x_{27}   &  4.17317332968 & +  0.96 x_{18} & -0.07 x_{30} & +  2.10 x_{7} & + 25.12 x_{4} & -0.26 x_{24} & -24.95 x_{2} & +  2.53 x_{1} & -2.41 x_{3} & -0.57 x_{22} & -1.57 x_{10} & -1.82 x_{11} & -0.00 x_{20} & +  1.35 x_{26} & +  0.18 x_{21} & + 11.71 x_{15}\\
 x_{28}   &  5.96507848417 & +  0.49 x_{18} & +  0.84 x_{30} & +  0.63 x_{7} & -9.87 x_{4} & +  1.54 x_{24} & + 11.65 x_{2} & -4.38 x_{1} & -22.28 x_{3} & +  0.58 x_{22} & -8.54 x_{10} & -6.15 x_{11} & +  0.93 x_{20} & -0.85 x_{26} & +  0.14 x_{21} & -2.83 x_{15}\\
 x_{29}   &  4.95615292013 & -0.60 x_{18} & +  0.07 x_{30} & +  0.52 x_{7} & -10.28 x_{4} & +  0.51 x_{24} & -7.47 x_{2} & +  3.59 x_{1} & -16.09 x_{3} & -0.50 x_{22} & -11.71 x_{10} & +  8.77 x_{11} & +  1.38 x_{20} & -1.16 x_{26} & +  0.18 x_{21} & -4.44 x_{15}\\
 x_{6}   &  0.0898291539079 & -0.03 x_{18} & +  0.07 x_{30} & +  0.62 x_{7} & -0.28 x_{4} & -0.01 x_{24} & +  0.15 x_{2} & -0.38 x_{1} & +  0.14 x_{3} & +  0.03 x_{22} & +  0.32 x_{10} & +  0.43 x_{11} & -0.01 x_{20} & +  0.00 x_{26} & +  0.05 x_{21} & +  1.41 x_{15}\\
\hline
z    &  2.32921371418 & -0.10 x_{18} & +  0.37 x_{30} & -1.24 x_{7} & -11.44 x_{4} & +  0.50 x_{24} & +  0.17 x_{2} & -0.73 x_{1} & -8.32 x_{3} & -0.07 x_{22} & -6.34 x_{10} & -10.07 x_{11} & +  0.44 x_{20} & -0.58 x_{26} & -0.63 x_{21} & -1.78 x_{15}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{9} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  7.670627862 & -0.49 x_{18} & +  0.58 x_{30} & +  0.96 x_{7} & -2.04 x_{4} & +  0.65 x_{24} & +  5.43 x_{9} & -15.90 x_{1} & + 16.39 x_{3} & -0.46 x_{22} & + 28.30 x_{10} & -0.06 x_{11} & -0.43 x_{20} & +  1.66 x_{26} & +  0.40 x_{21} & + 35.45 x_{15}\\
 x_{17}   &  3.77613224597 & +  0.33 x_{18} & +  1.24 x_{30} & +  9.48 x_{7} & -1.91 x_{4} & -0.01 x_{24} & -7.25 x_{9} & -4.63 x_{1} & -26.26 x_{3} & +  0.35 x_{22} & -28.80 x_{10} & +  3.03 x_{11} & +  0.42 x_{20} & -1.65 x_{26} & +  1.47 x_{21} & +  7.67 x_{15}\\
 x_{8}   &  0.294942453529 & +  0.05 x_{18} & +  0.08 x_{30} & +  0.66 x_{7} & +  0.16 x_{4} & +  0.05 x_{24} & -0.16 x_{9} & -1.01 x_{1} & -1.31 x_{3} & +  0.02 x_{22} & -0.11 x_{10} & -0.90 x_{11} & +  0.00 x_{20} & -0.02 x_{26} & +  0.06 x_{21} & +  0.81 x_{15}\\
 x_{19}   &  4.12636456837 & -0.83 x_{18} & -0.54 x_{30} & -4.89 x_{7} & -10.70 x_{4} & -0.14 x_{24} & +  2.40 x_{9} & + 16.07 x_{1} & +  3.43 x_{3} & -0.78 x_{22} & +  0.32 x_{10} & +  8.46 x_{11} & +  0.90 x_{20} & +  0.35 x_{26} & -0.98 x_{21} & -17.40 x_{15}\\
 x_{12}   &  0.08891475487 & +  0.02 x_{18} & -0.01 x_{30} & -0.65 x_{7} & -0.10 x_{4} & +  0.01 x_{24} & +  0.39 x_{9} & -0.17 x_{1} & +  0.63 x_{3} & +  0.02 x_{22} & +  0.24 x_{10} & -0.28 x_{11} & +  0.00 x_{20} & +  0.02 x_{26} & -0.07 x_{21} & -0.35 x_{15}\\
 x_{5}   &  0.364331950553 & +  0.04 x_{18} & +  0.05 x_{30} & +  1.43 x_{7} & +  2.04 x_{4} & +  0.02 x_{24} & -0.63 x_{9} & -1.07 x_{1} & -0.68 x_{3} & +  0.06 x_{22} & +  0.63 x_{10} & +  1.19 x_{11} & -0.02 x_{20} & +  0.10 x_{26} & +  0.16 x_{21} & +  2.66 x_{15}\\
 x_{2}   &  0.113782565297 & +  0.02 x_{18} & +  0.03 x_{30} & +  1.22 x_{7} & +  1.36 x_{4} & -0.03 x_{24} & -0.70 x_{9} & -0.00 x_{1} & -0.54 x_{3} & -0.00 x_{22} & -0.09 x_{10} & +  1.17 x_{11} & +  0.01 x_{20} & +  0.07 x_{26} & +  0.10 x_{21} & +  1.30 x_{15}\\
 x_{23}   &  7.65294844611 & +  0.53 x_{18} & +  0.81 x_{30} & +  5.07 x_{7} & -9.55 x_{4} & +  1.04 x_{24} & -5.90 x_{9} & +  0.27 x_{1} & -43.26 x_{3} & +  0.49 x_{22} & -15.71 x_{10} & -16.41 x_{11} & +  0.91 x_{20} & -1.66 x_{26} & +  0.52 x_{21} & -0.75 x_{15}\\
 x_{14}   &  0.204599199151 & +  0.03 x_{18} & +  0.06 x_{30} & +  0.53 x_{7} & -0.35 x_{4} & +  0.02 x_{24} & -0.96 x_{9} & +  0.53 x_{1} & -2.83 x_{3} & +  0.02 x_{22} & -2.19 x_{10} & -0.37 x_{11} & +  0.10 x_{20} & -0.14 x_{26} & +  0.07 x_{21} & -0.79 x_{15}\\
 x_{25}   &  4.95643343344 & +  1.01 x_{18} & +  1.09 x_{30} & + 31.69 x_{7} & + 27.42 x_{4} & -0.02 x_{24} & -2.17 x_{9} & -5.20 x_{1} & -26.11 x_{3} & +  0.88 x_{22} & +  3.95 x_{10} & +  6.13 x_{11} & -0.25 x_{20} & +  0.35 x_{26} & +  2.16 x_{21} & + 32.44 x_{15}\\
 x_{13}   &  0.273867549454 & -0.05 x_{18} & -0.03 x_{30} & -1.04 x_{7} & -0.96 x_{4} & +  0.07 x_{24} & +  0.08 x_{9} & +  0.35 x_{1} & +  0.14 x_{3} & -0.06 x_{22} & +  0.70 x_{10} & -0.70 x_{11} & +  0.06 x_{20} & +  0.00 x_{26} & -0.08 x_{21} & -0.65 x_{15}\\
 x_{27}   &  1.33394991855 & +  0.37 x_{18} & -0.77 x_{30} & -28.34 x_{7} & -8.80 x_{4} & +  0.59 x_{24} & + 17.48 x_{9} & +  2.54 x_{1} & + 11.10 x_{3} & -0.47 x_{22} & +  0.63 x_{10} & -31.07 x_{11} & -0.26 x_{20} & -0.32 x_{26} & -2.40 x_{21} & -20.76 x_{15}\\
 x_{28}   &  7.29084249983 & +  0.77 x_{18} & +  1.17 x_{30} & + 14.85 x_{7} & +  5.97 x_{4} & +  1.14 x_{24} & -8.16 x_{9} & -4.38 x_{1} & -28.59 x_{3} & +  0.53 x_{22} & -9.56 x_{10} & +  7.51 x_{11} & +  1.05 x_{20} & -0.07 x_{26} & +  1.34 x_{21} & + 12.34 x_{15}\\
 x_{29}   &  4.10573867211 & -0.78 x_{18} & -0.14 x_{30} & -8.60 x_{7} & -20.44 x_{4} & +  0.76 x_{24} & +  5.24 x_{9} & +  3.60 x_{1} & -12.04 x_{3} & -0.47 x_{22} & -11.05 x_{10} & +  0.01 x_{11} & +  1.30 x_{20} & -1.66 x_{26} & -0.59 x_{21} & -14.17 x_{15}\\
 x_{6}   &  0.106553788521 & -0.02 x_{18} & +  0.07 x_{30} & +  0.80 x_{7} & -0.08 x_{4} & -0.02 x_{24} & -0.10 x_{9} & -0.38 x_{1} & +  0.06 x_{3} & +  0.03 x_{22} & +  0.31 x_{10} & +  0.60 x_{11} & -0.01 x_{20} & +  0.01 x_{26} & +  0.06 x_{21} & +  1.61 x_{15}\\
\hline
z    &  2.34844892171 & -0.10 x_{18} & +  0.38 x_{30} & -1.03 x_{7} & -11.21 x_{4} & +  0.50 x_{24} & -0.12 x_{9} & -0.73 x_{1} & -8.41 x_{3} & -0.07 x_{22} & -6.36 x_{10} & -9.87 x_{11} & +  0.44 x_{20} & -0.57 x_{26} & -0.62 x_{21} & -1.56 x_{15}\\
\end{array}\]


 $ x_{20} $ enters and $ x_{27} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  5.50214277519 & -1.08 x_{18} & +  1.83 x_{30} & + 47.03 x_{7} & + 12.26 x_{4} & -0.31 x_{24} & -22.98 x_{9} & -20.03 x_{1} & -1.65 x_{3} & +  0.30 x_{22} & + 27.28 x_{10} & + 50.45 x_{11} & +  1.63 x_{27} & +  2.17 x_{26} & +  4.31 x_{21} & + 69.20 x_{15}\\
 x_{17}   &  5.90569989449 & +  0.92 x_{18} & +  0.01 x_{30} & -35.76 x_{7} & -15.95 x_{4} & +  0.93 x_{24} & + 20.65 x_{9} & -0.58 x_{1} & -8.53 x_{3} & -0.39 x_{22} & -27.80 x_{10} & -46.58 x_{11} & -1.60 x_{27} & -2.15 x_{26} & -2.37 x_{21} & -25.48 x_{15}\\
 x_{8}   &  0.297531927913 & +  0.05 x_{18} & +  0.08 x_{30} & +  0.60 x_{7} & +  0.14 x_{4} & +  0.05 x_{24} & -0.13 x_{9} & -1.01 x_{1} & -1.29 x_{3} & +  0.02 x_{22} & -0.11 x_{10} & -0.96 x_{11} & -0.00 x_{27} & -0.02 x_{26} & +  0.05 x_{21} & +  0.77 x_{15}\\
 x_{19}   &  8.70326219245 & +  0.43 x_{18} & -3.18 x_{30} & -102.13 x_{7} & -40.88 x_{4} & +  1.87 x_{24} & + 62.37 x_{9} & + 24.79 x_{1} & + 41.52 x_{3} & -2.38 x_{22} & +  2.46 x_{10} & -98.16 x_{11} & -3.43 x_{27} & -0.74 x_{26} & -9.23 x_{21} & -88.64 x_{15}\\
 x_{12}   &  0.0893036711757 & +  0.02 x_{18} & -0.01 x_{30} & -0.65 x_{7} & -0.10 x_{4} & +  0.01 x_{24} & +  0.40 x_{9} & -0.17 x_{1} & +  0.63 x_{3} & +  0.02 x_{22} & +  0.24 x_{10} & -0.29 x_{11} & -0.00 x_{27} & +  0.02 x_{26} & -0.07 x_{21} & -0.36 x_{15}\\
 x_{5}   &  0.252656253867 & +  0.01 x_{18} & +  0.12 x_{30} & +  3.81 x_{7} & +  2.77 x_{4} & -0.03 x_{24} & -2.10 x_{9} & -1.29 x_{1} & -1.61 x_{3} & +  0.10 x_{22} & +  0.58 x_{10} & +  3.79 x_{11} & +  0.08 x_{27} & +  0.13 x_{26} & +  0.36 x_{21} & +  4.39 x_{15}\\
 x_{2}   &  0.166583055316 & +  0.04 x_{18} & -0.00 x_{30} & +  0.10 x_{7} & +  1.01 x_{4} & -0.01 x_{24} & -0.01 x_{9} & +  0.10 x_{1} & -0.10 x_{3} & -0.02 x_{22} & -0.06 x_{10} & -0.06 x_{11} & -0.04 x_{27} & +  0.05 x_{26} & +  0.01 x_{21} & +  0.48 x_{15}\\
 x_{23}   &  12.2670674012 & +  1.80 x_{18} & -1.85 x_{30} & -92.96 x_{7} & -39.98 x_{4} & +  3.08 x_{24} & + 54.56 x_{9} & +  9.06 x_{1} & -4.86 x_{3} & -1.13 x_{22} & -13.55 x_{10} & -123.90 x_{11} & -3.46 x_{27} & -2.75 x_{26} & -7.79 x_{21} & -72.57 x_{15}\\
 x_{14}   &  0.696054369124 & +  0.17 x_{18} & -0.22 x_{30} & -9.91 x_{7} & -3.59 x_{4} & +  0.24 x_{24} & +  5.48 x_{9} & +  1.46 x_{1} & +  1.26 x_{3} & -0.15 x_{22} & -1.96 x_{10} & -11.82 x_{11} & -0.37 x_{27} & -0.26 x_{26} & -0.82 x_{21} & -8.44 x_{15}\\
 x_{25}   &  3.70633519078 & +  0.66 x_{18} & +  1.81 x_{30} & + 58.25 x_{7} & + 35.66 x_{4} & -0.57 x_{24} & -18.55 x_{9} & -7.59 x_{1} & -36.51 x_{3} & +  1.32 x_{22} & +  3.36 x_{10} & + 35.25 x_{11} & +  0.94 x_{27} & +  0.64 x_{26} & +  4.41 x_{21} & + 51.90 x_{15}\\
 x_{13}   &  0.573438136224 & +  0.03 x_{18} & -0.20 x_{30} & -7.40 x_{7} & -2.94 x_{4} & +  0.20 x_{24} & +  4.00 x_{9} & +  0.92 x_{1} & +  2.63 x_{3} & -0.17 x_{22} & +  0.84 x_{10} & -7.68 x_{11} & -0.22 x_{27} & -0.07 x_{26} & -0.62 x_{21} & -5.32 x_{15}\\
 x_{20}   &  5.06066809593 & +  1.39 x_{18} & -2.92 x_{30} & -107.52 x_{7} & -33.37 x_{4} & +  2.23 x_{24} & + 66.31 x_{9} & +  9.64 x_{1} & + 42.12 x_{3} & -1.77 x_{22} & +  2.37 x_{10} & -117.89 x_{11} & -3.79 x_{27} & -1.20 x_{26} & -9.12 x_{21} & -78.77 x_{15}\\
 x_{28}   &  12.6031220403 & +  2.23 x_{18} & -1.90 x_{30} & -98.02 x_{7} & -29.06 x_{4} & +  3.48 x_{24} & + 61.45 x_{9} & +  5.74 x_{1} & + 15.62 x_{3} & -1.33 x_{22} & -7.07 x_{10} & -116.23 x_{11} & -3.98 x_{27} & -1.33 x_{26} & -8.23 x_{21} & -70.35 x_{15}\\
 x_{29}   &  10.686664402 & +  1.04 x_{18} & -3.94 x_{30} & -148.41 x_{7} & -63.84 x_{4} & +  3.66 x_{24} & + 91.47 x_{9} & + 16.14 x_{1} & + 42.73 x_{3} & -2.77 x_{22} & -7.96 x_{10} & -153.29 x_{11} & -4.93 x_{27} & -3.22 x_{26} & -12.45 x_{21} & -116.60 x_{15}\\
 x_{6}   &  0.0460229867474 & -0.04 x_{18} & +  0.11 x_{30} & +  2.08 x_{7} & +  0.32 x_{4} & -0.04 x_{24} & -0.90 x_{9} & -0.49 x_{1} & -0.44 x_{3} & +  0.05 x_{22} & +  0.28 x_{10} & +  2.01 x_{11} & +  0.05 x_{27} & +  0.02 x_{26} & +  0.17 x_{21} & +  2.55 x_{15}\\
\hline
z    &  4.58204748075 & +  0.51 x_{18} & -0.91 x_{30} & -48.48 x_{7} & -25.94 x_{4} & +  1.48 x_{24} & + 29.15 x_{9} & +  3.53 x_{1} & + 10.18 x_{3} & -0.86 x_{22} & -5.31 x_{10} & -61.90 x_{11} & -1.67 x_{27} & -1.10 x_{26} & -4.64 x_{21} & -36.33 x_{15}\\
\end{array}\]


 $ x_{1} $ enters and $ x_{6} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  3.62222465826 & +  0.54 x_{18} & -2.52 x_{30} & -38.04 x_{7} & -0.63 x_{4} & +  1.53 x_{24} & + 13.62 x_{9} & + 40.85 x_{6} & + 16.44 x_{3} & -1.93 x_{22} & + 15.81 x_{10} & -31.69 x_{11} & -0.23 x_{27} & +  1.16 x_{26} & -2.65 x_{21} & -34.85 x_{15}\\
 x_{17}   &  5.85169158991 & +  0.97 x_{18} & -0.12 x_{30} & -38.21 x_{7} & -16.32 x_{4} & +  0.98 x_{24} & + 21.71 x_{9} & +  1.17 x_{6} & -8.01 x_{3} & -0.46 x_{22} & -28.13 x_{10} & -48.94 x_{11} & -1.65 x_{27} & -2.18 x_{26} & -2.57 x_{21} & -28.47 x_{15}\\
 x_{8}   &  0.202866949175 & +  0.13 x_{18} & -0.14 x_{30} & -3.68 x_{7} & -0.51 x_{4} & +  0.15 x_{24} & +  1.71 x_{9} & +  2.06 x_{6} & -0.38 x_{3} & -0.09 x_{22} & -0.69 x_{10} & -5.10 x_{11} & -0.10 x_{27} & -0.07 x_{26} & -0.30 x_{21} & -4.47 x_{15}\\
 x_{19}   &  11.0298762468 & -1.58 x_{18} & +  2.20 x_{30} & +  3.15 x_{7} & -24.93 x_{4} & -0.40 x_{24} & + 17.07 x_{9} & -50.55 x_{6} & + 19.12 x_{3} & +  0.39 x_{22} & + 16.67 x_{10} & +  3.51 x_{11} & -1.14 x_{27} & +  0.51 x_{26} & -0.62 x_{21} & + 40.14 x_{15}\\
 x_{12}   &  0.0734873020103 & +  0.03 x_{18} & -0.05 x_{30} & -1.37 x_{7} & -0.21 x_{4} & +  0.03 x_{24} & +  0.70 x_{9} & +  0.34 x_{6} & +  0.79 x_{3} & +  0.00 x_{22} & +  0.15 x_{10} & -0.98 x_{11} & -0.02 x_{27} & +  0.01 x_{26} & -0.13 x_{21} & -1.24 x_{15}\\
 x_{5}   &  0.131870672182 & +  0.12 x_{18} & -0.16 x_{30} & -1.66 x_{7} & +  1.94 x_{4} & +  0.09 x_{24} & +  0.25 x_{9} & +  2.62 x_{6} & -0.44 x_{3} & -0.04 x_{22} & -0.16 x_{10} & -1.49 x_{11} & -0.04 x_{27} & +  0.06 x_{26} & -0.09 x_{21} & -2.29 x_{15}\\
 x_{2}   &  0.175971125942 & +  0.03 x_{18} & +  0.02 x_{30} & +  0.52 x_{7} & +  1.08 x_{4} & -0.02 x_{24} & -0.19 x_{9} & -0.20 x_{6} & -0.19 x_{3} & -0.01 x_{22} & -0.01 x_{10} & +  0.35 x_{11} & -0.03 x_{27} & +  0.06 x_{26} & +  0.04 x_{21} & +  1.00 x_{15}\\
 x_{23}   &  13.1168974607 & +  1.06 x_{18} & +  0.11 x_{30} & -54.51 x_{7} & -34.15 x_{4} & +  2.25 x_{24} & + 38.01 x_{9} & -18.47 x_{6} & -13.04 x_{3} & -0.12 x_{22} & -8.36 x_{10} & -86.76 x_{11} & -2.62 x_{27} & -2.29 x_{26} & -4.64 x_{21} & -25.53 x_{15}\\
 x_{14}   &  0.833195809427 & +  0.05 x_{18} & +  0.09 x_{30} & -3.71 x_{7} & -2.65 x_{4} & +  0.10 x_{24} & +  2.81 x_{9} & -2.98 x_{6} & -0.06 x_{3} & +  0.01 x_{22} & -1.12 x_{10} & -5.82 x_{11} & -0.23 x_{27} & -0.18 x_{26} & -0.31 x_{21} & -0.84 x_{15}\\
 x_{25}   &  2.99444186316 & +  1.28 x_{18} & +  0.16 x_{30} & + 26.04 x_{7} & + 30.78 x_{4} & +  0.13 x_{24} & -4.69 x_{9} & + 15.47 x_{6} & -29.66 x_{3} & +  0.47 x_{22} & -0.98 x_{10} & +  4.14 x_{11} & +  0.24 x_{27} & +  0.26 x_{26} & +  1.77 x_{21} & + 12.50 x_{15}\\
 x_{13}   &  0.659827164786 & -0.04 x_{18} & -0.00 x_{30} & -3.49 x_{7} & -2.35 x_{4} & +  0.12 x_{24} & +  2.32 x_{9} & -1.88 x_{6} & +  1.80 x_{3} & -0.06 x_{22} & +  1.37 x_{10} & -3.91 x_{11} & -0.14 x_{27} & -0.02 x_{26} & -0.30 x_{21} & -0.53 x_{15}\\
 x_{20}   &  5.96547102664 & +  0.61 x_{18} & -0.83 x_{30} & -66.57 x_{7} & -27.17 x_{4} & +  1.35 x_{24} & + 48.70 x_{9} & -19.66 x_{6} & + 33.40 x_{3} & -0.70 x_{22} & +  7.90 x_{10} & -78.35 x_{11} & -2.90 x_{27} & -0.71 x_{26} & -5.77 x_{21} & -28.69 x_{15}\\
 x_{28}   &  13.1415068247 & +  1.77 x_{18} & -0.65 x_{30} & -73.65 x_{7} & -25.37 x_{4} & +  2.96 x_{24} & + 50.97 x_{9} & -11.70 x_{6} & + 10.44 x_{3} & -0.69 x_{22} & -3.78 x_{10} & -92.71 x_{11} & -3.45 x_{27} & -1.04 x_{26} & -6.24 x_{21} & -40.55 x_{15}\\
 x_{29}   &  12.2009139415 & -0.27 x_{18} & -0.44 x_{30} & -79.89 x_{7} & -53.46 x_{4} & +  2.18 x_{24} & + 61.99 x_{9} & -32.90 x_{6} & + 28.15 x_{3} & -0.97 x_{22} & +  1.28 x_{10} & -87.12 x_{11} & -3.44 x_{27} & -2.40 x_{26} & -6.84 x_{21} & -32.79 x_{15}\\
 x_{1}   &  0.0938342658815 & -0.08 x_{18} & +  0.22 x_{30} & +  4.25 x_{7} & +  0.64 x_{4} & -0.09 x_{24} & -1.83 x_{9} & -2.04 x_{6} & -0.90 x_{3} & +  0.11 x_{22} & +  0.57 x_{10} & +  4.10 x_{11} & +  0.09 x_{27} & +  0.05 x_{26} & +  0.35 x_{21} & +  5.19 x_{15}\\
\hline
z    &  4.91302144226 & +  0.23 x_{18} & -0.15 x_{30} & -33.51 x_{7} & -23.67 x_{4} & +  1.16 x_{24} & + 22.71 x_{9} & -7.19 x_{6} & +  7.00 x_{3} & -0.46 x_{22} & -3.29 x_{10} & -47.44 x_{11} & -1.35 x_{27} & -0.92 x_{26} & -3.42 x_{21} & -18.01 x_{15}\\
\end{array}\]


 $ x_{3} $ enters and $ x_{25} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  5.28259421434 & +  1.25 x_{18} & -2.43 x_{30} & -23.61 x_{7} & + 16.44 x_{4} & +  1.60 x_{24} & + 11.02 x_{9} & + 49.42 x_{6} & -0.55 x_{25} & -1.67 x_{22} & + 15.26 x_{10} & -29.40 x_{11} & -0.10 x_{27} & +  1.30 x_{26} & -1.67 x_{21} & -27.92 x_{15}\\
 x_{17}   &  5.04244607545 & +  0.62 x_{18} & -0.16 x_{30} & -45.24 x_{7} & -24.64 x_{4} & +  0.95 x_{24} & + 22.97 x_{9} & -3.01 x_{6} & +  0.27 x_{25} & -0.59 x_{22} & -27.86 x_{10} & -50.05 x_{11} & -1.71 x_{27} & -2.25 x_{26} & -3.05 x_{21} & -31.85 x_{15}\\
 x_{8}   &  0.164477511981 & +  0.11 x_{18} & -0.14 x_{30} & -4.01 x_{7} & -0.90 x_{4} & +  0.14 x_{24} & +  1.77 x_{9} & +  1.86 x_{6} & +  0.01 x_{25} & -0.10 x_{22} & -0.67 x_{10} & -5.15 x_{11} & -0.10 x_{27} & -0.08 x_{26} & -0.32 x_{21} & -4.63 x_{15}\\
 x_{19}   &  12.9606014174 & -0.75 x_{18} & +  2.30 x_{30} & + 19.94 x_{7} & -5.09 x_{4} & -0.31 x_{24} & + 14.05 x_{9} & -40.58 x_{6} & -0.64 x_{25} & +  0.70 x_{22} & + 16.03 x_{10} & +  6.18 x_{11} & -0.99 x_{27} & +  0.68 x_{26} & +  0.53 x_{21} & + 48.20 x_{15}\\
 x_{12}   &  0.152903417143 & +  0.07 x_{18} & -0.04 x_{30} & -0.68 x_{7} & +  0.61 x_{4} & +  0.03 x_{24} & +  0.58 x_{9} & +  0.75 x_{6} & -0.03 x_{25} & +  0.01 x_{22} & +  0.12 x_{10} & -0.87 x_{11} & -0.01 x_{27} & +  0.02 x_{26} & -0.08 x_{21} & -0.90 x_{15}\\
 x_{5}   &  0.0871157529498 & +  0.10 x_{18} & -0.17 x_{30} & -2.05 x_{7} & +  1.48 x_{4} & +  0.09 x_{24} & +  0.32 x_{9} & +  2.39 x_{6} & +  0.01 x_{25} & -0.05 x_{22} & -0.15 x_{10} & -1.55 x_{11} & -0.04 x_{27} & +  0.06 x_{26} & -0.12 x_{21} & -2.48 x_{15}\\
 x_{2}   &  0.156525400341 & +  0.02 x_{18} & +  0.02 x_{30} & +  0.35 x_{7} & +  0.88 x_{4} & -0.02 x_{24} & -0.16 x_{9} & -0.30 x_{6} & +  0.01 x_{25} & -0.01 x_{22} & +  0.00 x_{10} & +  0.33 x_{11} & -0.03 x_{27} & +  0.06 x_{26} & +  0.03 x_{21} & +  0.92 x_{15}\\
 x_{23}   &  11.800008667 & +  0.50 x_{18} & +  0.04 x_{30} & -65.95 x_{7} & -47.69 x_{4} & +  2.19 x_{24} & + 40.07 x_{9} & -25.27 x_{6} & +  0.44 x_{25} & -0.33 x_{22} & -7.93 x_{10} & -88.58 x_{11} & -2.72 x_{27} & -2.41 x_{26} & -5.42 x_{21} & -31.03 x_{15}\\
 x_{14}   &  0.826739788885 & +  0.05 x_{18} & +  0.09 x_{30} & -3.76 x_{7} & -2.72 x_{4} & +  0.10 x_{24} & +  2.82 x_{9} & -3.01 x_{6} & +  0.00 x_{25} & +  0.01 x_{22} & -1.12 x_{10} & -5.83 x_{11} & -0.23 x_{27} & -0.19 x_{26} & -0.31 x_{21} & -0.87 x_{15}\\
 x_{3}   &  0.10096904916 & +  0.04 x_{18} & +  0.01 x_{30} & +  0.88 x_{7} & +  1.04 x_{4} & +  0.00 x_{24} & -0.16 x_{9} & +  0.52 x_{6} & -0.03 x_{25} & +  0.02 x_{22} & -0.03 x_{10} & +  0.14 x_{11} & +  0.01 x_{27} & +  0.01 x_{26} & +  0.06 x_{21} & +  0.42 x_{15}\\
 x_{13}   &  0.841292816975 & +  0.04 x_{18} & +  0.01 x_{30} & -1.92 x_{7} & -0.48 x_{4} & +  0.12 x_{24} & +  2.04 x_{9} & -0.94 x_{6} & -0.06 x_{25} & -0.04 x_{22} & +  1.31 x_{10} & -3.66 x_{11} & -0.13 x_{27} & -0.01 x_{26} & -0.19 x_{21} & +  0.22 x_{15}\\
 x_{20}   &  9.33830483627 & +  2.05 x_{18} & -0.65 x_{30} & -37.25 x_{7} & +  7.50 x_{4} & +  1.49 x_{24} & + 43.41 x_{9} & -2.24 x_{6} & -1.13 x_{25} & -0.16 x_{22} & +  6.79 x_{10} & -73.69 x_{11} & -2.64 x_{27} & -0.42 x_{26} & -3.77 x_{21} & -14.61 x_{15}\\
 x_{28}   &  14.1955672038 & +  2.22 x_{18} & -0.59 x_{30} & -64.49 x_{7} & -14.54 x_{4} & +  3.00 x_{24} & + 49.31 x_{9} & -6.25 x_{6} & -0.35 x_{25} & -0.52 x_{22} & -4.13 x_{10} & -91.25 x_{11} & -3.37 x_{27} & -0.95 x_{26} & -5.61 x_{21} & -36.15 x_{15}\\
 x_{29}   &  15.0431701195 & +  0.94 x_{18} & -0.29 x_{30} & -55.18 x_{7} & -24.24 x_{4} & +  2.30 x_{24} & + 57.53 x_{9} & -18.22 x_{6} & -0.95 x_{25} & -0.52 x_{22} & +  0.35 x_{10} & -83.19 x_{11} & -3.22 x_{27} & -2.16 x_{26} & -5.16 x_{21} & -20.92 x_{15}\\
 x_{1}   &  0.00261947855344 & -0.12 x_{18} & +  0.21 x_{30} & +  3.45 x_{7} & -0.29 x_{4} & -0.10 x_{24} & -1.68 x_{9} & -2.51 x_{6} & +  0.03 x_{25} & +  0.10 x_{22} & +  0.60 x_{10} & +  3.97 x_{11} & +  0.09 x_{27} & +  0.04 x_{26} & +  0.29 x_{21} & +  4.81 x_{15}\\
\hline
z    &  5.61932912348 & +  0.53 x_{18} & -0.11 x_{30} & -27.37 x_{7} & -16.41 x_{4} & +  1.19 x_{24} & + 21.60 x_{9} & -3.54 x_{6} & -0.24 x_{25} & -0.35 x_{22} & -3.52 x_{10} & -46.46 x_{11} & -1.29 x_{27} & -0.86 x_{26} & -3.00 x_{21} & -15.06 x_{15}\\
\end{array}\]


 $ x_{9} $ enters and $ x_{1} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  5.29973934114 & +  0.47 x_{18} & -1.04 x_{30} & -1.01 x_{7} & + 14.51 x_{4} & +  0.98 x_{24} & -6.55 x_{1} & + 33.00 x_{6} & -0.36 x_{25} & -1.04 x_{22} & + 19.21 x_{10} & -3.39 x_{11} & +  0.46 x_{27} & +  1.58 x_{26} & +  0.25 x_{21} & +  3.58 x_{15}\\
 x_{17}   &  5.07817551856 & -1.02 x_{18} & +  2.73 x_{30} & +  1.86 x_{7} & -28.66 x_{4} & -0.35 x_{24} & -13.64 x_{1} & -37.24 x_{6} & +  0.69 x_{25} & +  0.74 x_{22} & -19.64 x_{10} & +  4.16 x_{11} & -0.55 x_{27} & -1.67 x_{26} & +  0.95 x_{21} & + 33.80 x_{15}\\
 x_{8}   &  0.167234554342 & -0.01 x_{18} & +  0.08 x_{30} & -0.38 x_{7} & -1.21 x_{4} & +  0.04 x_{24} & -1.05 x_{1} & -0.78 x_{6} & +  0.04 x_{25} & +  0.00 x_{22} & -0.04 x_{10} & -0.97 x_{11} & -0.01 x_{27} & -0.03 x_{26} & -0.01 x_{21} & +  0.44 x_{15}\\
 x_{19}   &  12.9824490179 & -1.76 x_{18} & +  4.07 x_{30} & + 48.74 x_{7} & -7.54 x_{4} & -1.11 x_{24} & -8.34 x_{1} & -61.51 x_{6} & -0.39 x_{25} & +  1.51 x_{22} & + 21.06 x_{10} & + 39.32 x_{11} & -0.27 x_{27} & +  1.03 x_{26} & +  2.97 x_{21} & + 88.34 x_{15}\\
 x_{12}   &  0.15380458511 & +  0.02 x_{18} & +  0.03 x_{30} & +  0.51 x_{7} & +  0.51 x_{4} & +  0.00 x_{24} & -0.34 x_{1} & -0.11 x_{6} & -0.02 x_{25} & +  0.05 x_{22} & +  0.33 x_{10} & +  0.50 x_{11} & +  0.02 x_{27} & +  0.04 x_{26} & +  0.02 x_{21} & +  0.75 x_{15}\\
 x_{5}   &  0.0876191187882 & +  0.08 x_{18} & -0.12 x_{30} & -1.39 x_{7} & +  1.43 x_{4} & +  0.07 x_{24} & -0.19 x_{1} & +  1.91 x_{6} & +  0.02 x_{25} & -0.03 x_{22} & -0.03 x_{10} & -0.79 x_{11} & -0.02 x_{27} & +  0.06 x_{26} & -0.06 x_{21} & -1.55 x_{15}\\
 x_{2}   &  0.156275051454 & +  0.03 x_{18} & -0.00 x_{30} & +  0.02 x_{7} & +  0.90 x_{4} & -0.01 x_{24} & +  0.10 x_{1} & -0.06 x_{6} & +  0.00 x_{25} & -0.02 x_{22} & -0.06 x_{10} & -0.05 x_{11} & -0.04 x_{27} & +  0.05 x_{26} & +  0.00 x_{21} & +  0.46 x_{15}\\
 x_{23}   &  11.8623328982 & -2.36 x_{18} & +  5.08 x_{30} & + 16.21 x_{7} & -54.69 x_{4} & -0.08 x_{24} & -23.79 x_{1} & -84.99 x_{6} & +  1.16 x_{25} & +  1.99 x_{22} & +  6.41 x_{10} & +  5.98 x_{11} & -0.69 x_{27} & -1.39 x_{26} & +  1.56 x_{21} & + 83.49 x_{15}\\
 x_{14}   &  0.831129756521 & -0.15 x_{18} & +  0.45 x_{30} & +  2.02 x_{7} & -3.21 x_{4} & -0.06 x_{24} & -1.68 x_{1} & -7.22 x_{6} & +  0.05 x_{25} & +  0.17 x_{22} & -0.11 x_{10} & +  0.83 x_{11} & -0.09 x_{27} & -0.11 x_{26} & +  0.18 x_{21} & +  7.19 x_{15}\\
 x_{3}   &  0.100723116377 & +  0.05 x_{18} & -0.01 x_{30} & +  0.55 x_{7} & +  1.07 x_{4} & +  0.01 x_{24} & +  0.09 x_{1} & +  0.76 x_{6} & -0.04 x_{25} & +  0.01 x_{22} & -0.09 x_{10} & -0.23 x_{11} & -0.00 x_{27} & +  0.00 x_{26} & +  0.03 x_{21} & -0.03 x_{15}\\
 x_{13}   &  0.844459158372 & -0.11 x_{18} & +  0.27 x_{30} & +  2.26 x_{7} & -0.84 x_{4} & +  0.01 x_{24} & -1.21 x_{1} & -3.97 x_{6} & -0.02 x_{25} & +  0.08 x_{22} & +  2.04 x_{10} & +  1.15 x_{11} & -0.02 x_{27} & +  0.05 x_{26} & +  0.16 x_{21} & +  6.04 x_{15}\\
 x_{20}   &  9.40582441051 & -1.05 x_{18} & +  4.82 x_{30} & + 51.76 x_{7} & -0.09 x_{4} & -0.97 x_{24} & -25.78 x_{1} & -66.94 x_{6} & -0.34 x_{25} & +  2.34 x_{22} & + 22.33 x_{10} & + 28.76 x_{11} & -0.44 x_{27} & +  0.68 x_{26} & +  3.79 x_{21} & + 109.45 x_{15}\\
 x_{28}   &  14.2722647314 & -1.30 x_{18} & +  5.61 x_{30} & + 36.62 x_{7} & -23.16 x_{4} & +  0.20 x_{24} & -29.28 x_{1} & -79.75 x_{6} & +  0.54 x_{25} & +  2.32 x_{22} & + 13.52 x_{10} & + 25.12 x_{11} & -0.87 x_{27} & +  0.29 x_{26} & +  2.98 x_{21} & + 104.77 x_{15}\\
 x_{29}   &  15.1326511017 & -3.16 x_{18} & +  6.96 x_{30} & + 62.78 x_{7} & -34.30 x_{4} & -0.96 x_{24} & -34.16 x_{1} & -103.96 x_{6} & +  0.09 x_{25} & +  2.80 x_{22} & + 20.94 x_{10} & + 52.57 x_{11} & -0.30 x_{27} & -0.71 x_{26} & +  4.86 x_{21} & + 143.49 x_{15}\\
 x_{9}   &  0.001555277473 & -0.07 x_{18} & +  0.13 x_{30} & +  2.05 x_{7} & -0.17 x_{4} & -0.06 x_{24} & -0.59 x_{1} & -1.49 x_{6} & +  0.02 x_{25} & +  0.06 x_{22} & +  0.36 x_{10} & +  2.36 x_{11} & +  0.05 x_{27} & +  0.03 x_{26} & +  0.17 x_{21} & +  2.86 x_{15}\\
\hline
z    &  5.65292186117 & -1.01 x_{18} & +  2.61 x_{30} & + 16.92 x_{7} & -20.18 x_{4} & -0.04 x_{24} & -12.82 x_{1} & -35.73 x_{6} & +  0.15 x_{25} & +  0.90 x_{22} & +  4.21 x_{10} & +  4.51 x_{11} & -0.20 x_{27} & -0.31 x_{26} & +  0.77 x_{21} & + 46.67 x_{15}\\
\end{array}\]


 $ x_{7} $ enters and $ x_{5} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  5.23620213273 & +  0.41 x_{18} & -0.95 x_{30} & +  0.73 x_{5} & + 13.48 x_{4} & +  0.93 x_{24} & -6.41 x_{1} & + 31.61 x_{6} & -0.37 x_{25} & -1.01 x_{22} & + 19.23 x_{10} & -2.82 x_{11} & +  0.48 x_{27} & +  1.54 x_{26} & +  0.29 x_{21} & +  4.71 x_{15}\\
 x_{17}   &  5.19552632185 & -0.92 x_{18} & +  2.56 x_{30} & -1.34 x_{5} & -26.74 x_{4} & -0.26 x_{24} & -13.90 x_{1} & -34.68 x_{6} & +  0.71 x_{25} & +  0.70 x_{22} & -19.68 x_{10} & +  3.10 x_{11} & -0.58 x_{27} & -1.58 x_{26} & +  0.87 x_{21} & + 31.72 x_{15}\\
 x_{8}   &  0.143191687878 & -0.03 x_{18} & +  0.11 x_{30} & +  0.27 x_{5} & -1.60 x_{4} & +  0.03 x_{24} & -1.00 x_{1} & -1.31 x_{6} & +  0.04 x_{25} & +  0.01 x_{22} & -0.03 x_{10} & -0.75 x_{11} & -0.00 x_{27} & -0.05 x_{26} & +  0.01 x_{21} & +  0.86 x_{15}\\
 x_{19}   &  16.0633311239 & +  0.89 x_{18} & -0.32 x_{30} & -35.16 x_{5} & + 42.64 x_{4} & +  1.36 x_{24} & -15.10 x_{1} & +  5.68 x_{6} & +  0.34 x_{25} & +  0.50 x_{22} & + 19.95 x_{10} & + 11.61 x_{11} & -1.06 x_{27} & +  3.32 x_{26} & +  0.85 x_{21} & + 33.74 x_{15}\\
 x_{12}   &  0.185973300085 & +  0.05 x_{18} & -0.02 x_{30} & -0.37 x_{5} & +  1.03 x_{4} & +  0.03 x_{24} & -0.41 x_{1} & +  0.59 x_{6} & -0.01 x_{25} & +  0.04 x_{22} & +  0.32 x_{10} & +  0.21 x_{11} & +  0.01 x_{27} & +  0.06 x_{26} & +  0.00 x_{21} & +  0.18 x_{15}\\
 x_{7}   &  0.0632093278375 & +  0.05 x_{18} & -0.09 x_{30} & -0.72 x_{5} & +  1.03 x_{4} & +  0.05 x_{24} & -0.14 x_{1} & +  1.38 x_{6} & +  0.02 x_{25} & -0.02 x_{22} & -0.02 x_{10} & -0.57 x_{11} & -0.02 x_{27} & +  0.05 x_{26} & -0.04 x_{21} & -1.12 x_{15}\\
 x_{2}   &  0.157792184637 & +  0.03 x_{18} & -0.00 x_{30} & -0.02 x_{5} & +  0.93 x_{4} & -0.01 x_{24} & +  0.09 x_{1} & -0.03 x_{6} & +  0.00 x_{25} & -0.02 x_{22} & -0.06 x_{10} & -0.07 x_{11} & -0.04 x_{27} & +  0.05 x_{26} & +  0.00 x_{21} & +  0.43 x_{15}\\
 x_{23}   &  12.8866732353 & -1.48 x_{18} & +  3.62 x_{30} & -11.69 x_{5} & -38.01 x_{4} & +  0.74 x_{24} & -26.04 x_{1} & -62.65 x_{6} & +  1.41 x_{25} & +  1.65 x_{22} & +  6.04 x_{10} & -3.24 x_{11} & -0.96 x_{27} & -0.64 x_{26} & +  0.85 x_{21} & + 65.34 x_{15}\\
 x_{14}   &  0.958970347243 & -0.04 x_{18} & +  0.27 x_{30} & -1.46 x_{5} & -1.13 x_{4} & +  0.04 x_{24} & -1.96 x_{1} & -4.43 x_{6} & +  0.08 x_{25} & +  0.13 x_{22} & -0.15 x_{10} & -0.32 x_{11} & -0.12 x_{27} & -0.02 x_{26} & +  0.09 x_{21} & +  4.93 x_{15}\\
 x_{3}   &  0.135721215821 & +  0.08 x_{18} & -0.06 x_{30} & -0.40 x_{5} & +  1.64 x_{4} & +  0.04 x_{24} & +  0.02 x_{1} & +  1.52 x_{6} & -0.03 x_{25} & -0.00 x_{22} & -0.10 x_{10} & -0.55 x_{11} & -0.01 x_{27} & +  0.03 x_{26} & +  0.01 x_{21} & -0.65 x_{15}\\
 x_{13}   &  0.987181742785 & +  0.01 x_{18} & +  0.06 x_{30} & -1.63 x_{5} & +  1.49 x_{4} & +  0.12 x_{24} & -1.52 x_{1} & -0.86 x_{6} & +  0.01 x_{25} & +  0.03 x_{22} & +  1.99 x_{10} & -0.14 x_{11} & -0.06 x_{27} & +  0.15 x_{26} & +  0.06 x_{21} & +  3.51 x_{15}\\
 x_{20}   &  12.6776831026 & +  1.76 x_{18} & +  0.15 x_{30} & -37.34 x_{5} & + 53.20 x_{4} & +  1.65 x_{24} & -32.95 x_{1} & +  4.42 x_{6} & +  0.44 x_{25} & +  1.27 x_{22} & + 21.15 x_{10} & -0.68 x_{11} & -1.28 x_{27} & +  3.10 x_{26} & +  1.54 x_{21} & + 51.47 x_{15}\\
 x_{28}   &  16.5869584041 & +  0.68 x_{18} & +  2.31 x_{30} & -26.42 x_{5} & + 14.55 x_{4} & +  2.06 x_{24} & -34.36 x_{1} & -29.26 x_{6} & +  1.09 x_{25} & +  1.56 x_{22} & + 12.68 x_{10} & +  4.29 x_{11} & -1.46 x_{27} & +  2.01 x_{26} & +  1.39 x_{21} & + 63.75 x_{15}\\
 x_{29}   &  19.101215191 & +  0.24 x_{18} & +  1.30 x_{30} & -45.29 x_{5} & + 30.34 x_{4} & +  2.22 x_{24} & -42.86 x_{1} & -17.41 x_{6} & +  1.03 x_{25} & +  1.50 x_{22} & + 19.51 x_{10} & + 16.87 x_{11} & -1.32 x_{27} & +  2.24 x_{26} & +  2.13 x_{21} & + 73.16 x_{15}\\
 x_{9}   &  0.131152346491 & +  0.04 x_{18} & -0.06 x_{30} & -1.48 x_{5} & +  1.94 x_{4} & +  0.05 x_{24} & -0.88 x_{1} & +  1.34 x_{6} & +  0.05 x_{25} & +  0.02 x_{22} & +  0.31 x_{10} & +  1.19 x_{11} & +  0.02 x_{27} & +  0.12 x_{26} & +  0.09 x_{21} & +  0.56 x_{15}\\
\hline
z    &  6.72236581585 & -0.09 x_{18} & +  1.08 x_{30} & -12.21 x_{5} & -2.76 x_{4} & +  0.82 x_{24} & -15.17 x_{1} & -12.41 x_{6} & +  0.41 x_{25} & +  0.55 x_{22} & +  3.82 x_{10} & -5.11 x_{11} & -0.47 x_{27} & +  0.48 x_{26} & +  0.03 x_{21} & + 27.71 x_{15}\\
\end{array}\]


 $ x_{10} $ enters and $ x_{17} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  10.312395751 & -0.49 x_{18} & +  1.55 x_{30} & -0.58 x_{5} & -12.65 x_{4} & +  0.67 x_{24} & -19.98 x_{1} & -2.28 x_{6} & +  0.33 x_{25} & -0.33 x_{22} & -0.98 x_{17} & +  0.21 x_{11} & -0.09 x_{27} & -0.01 x_{26} & +  1.14 x_{21} & + 35.70 x_{15}\\
 x_{10}   &  0.26395414341 & -0.05 x_{18} & +  0.13 x_{30} & -0.07 x_{5} & -1.36 x_{4} & -0.01 x_{24} & -0.71 x_{1} & -1.76 x_{6} & +  0.04 x_{25} & +  0.04 x_{22} & -0.05 x_{17} & +  0.16 x_{11} & -0.03 x_{27} & -0.08 x_{26} & +  0.04 x_{21} & +  1.61 x_{15}\\
 x_{8}   &  0.135188764629 & -0.03 x_{18} & +  0.11 x_{30} & +  0.28 x_{5} & -1.56 x_{4} & +  0.03 x_{24} & -0.98 x_{1} & -1.25 x_{6} & +  0.04 x_{25} & +  0.01 x_{22} & +  0.00 x_{17} & -0.75 x_{11} & -0.00 x_{27} & -0.05 x_{26} & +  0.00 x_{21} & +  0.81 x_{15}\\
 x_{19}   &  21.3288372042 & -0.04 x_{18} & +  2.27 x_{30} & -36.52 x_{5} & + 15.53 x_{4} & +  1.09 x_{24} & -29.18 x_{1} & -29.47 x_{6} & +  1.06 x_{25} & +  1.21 x_{22} & -1.01 x_{17} & + 14.75 x_{11} & -1.65 x_{27} & +  1.72 x_{26} & +  1.74 x_{21} & + 65.89 x_{15}\\
 x_{12}   &  0.269119570034 & +  0.04 x_{18} & +  0.02 x_{30} & -0.39 x_{5} & +  0.60 x_{4} & +  0.02 x_{24} & -0.64 x_{1} & +  0.04 x_{6} & +  0.00 x_{25} & +  0.05 x_{22} & -0.02 x_{17} & +  0.26 x_{11} & +  0.00 x_{27} & +  0.03 x_{26} & +  0.01 x_{21} & +  0.69 x_{15}\\
 x_{7}   &  0.0571888435329 & +  0.06 x_{18} & -0.09 x_{30} & -0.72 x_{5} & +  1.06 x_{4} & +  0.05 x_{24} & -0.12 x_{1} & +  1.42 x_{6} & +  0.01 x_{25} & -0.02 x_{22} & +  0.00 x_{17} & -0.57 x_{11} & -0.02 x_{27} & +  0.05 x_{26} & -0.04 x_{21} & -1.16 x_{15}\\
 x_{2}   &  0.142523485773 & +  0.04 x_{18} & -0.01 x_{30} & -0.01 x_{5} & +  1.01 x_{4} & -0.01 x_{24} & +  0.13 x_{1} & +  0.07 x_{6} & +  0.00 x_{25} & -0.03 x_{22} & +  0.00 x_{17} & -0.08 x_{11} & -0.04 x_{27} & +  0.06 x_{26} & -0.00 x_{21} & +  0.34 x_{15}\\
 x_{23}   &  14.4814246637 & -1.76 x_{18} & +  4.41 x_{30} & -12.10 x_{5} & -46.22 x_{4} & +  0.66 x_{24} & -30.30 x_{1} & -73.29 x_{6} & +  1.63 x_{25} & +  1.87 x_{22} & -0.31 x_{17} & -2.28 x_{11} & -1.13 x_{27} & -1.12 x_{26} & +  1.12 x_{21} & + 75.07 x_{15}\\
 x_{14}   &  0.918195827922 & -0.04 x_{18} & +  0.25 x_{30} & -1.45 x_{5} & -0.92 x_{4} & +  0.05 x_{24} & -1.85 x_{1} & -4.16 x_{6} & +  0.08 x_{25} & +  0.13 x_{22} & +  0.01 x_{17} & -0.35 x_{11} & -0.12 x_{27} & -0.01 x_{26} & +  0.08 x_{21} & +  4.68 x_{15}\\
 x_{3}   &  0.108705940543 & +  0.09 x_{18} & -0.08 x_{30} & -0.39 x_{5} & +  1.77 x_{4} & +  0.04 x_{24} & +  0.09 x_{1} & +  1.70 x_{6} & -0.03 x_{25} & -0.01 x_{22} & +  0.01 x_{17} & -0.56 x_{11} & -0.01 x_{27} & +  0.04 x_{26} & +  0.00 x_{21} & -0.82 x_{15}\\
 x_{13}   &  1.51167539139 & -0.08 x_{18} & +  0.32 x_{30} & -1.76 x_{5} & -1.21 x_{4} & +  0.10 x_{24} & -2.92 x_{1} & -4.36 x_{6} & +  0.08 x_{25} & +  0.11 x_{22} & -0.10 x_{17} & +  0.18 x_{11} & -0.12 x_{27} & -0.01 x_{26} & +  0.15 x_{21} & +  6.72 x_{15}\\
 x_{20}   &  18.2597082806 & +  0.78 x_{18} & +  2.91 x_{30} & -38.78 x_{5} & + 24.47 x_{4} & +  1.37 x_{24} & -47.88 x_{1} & -32.84 x_{6} & +  1.20 x_{25} & +  2.03 x_{22} & -1.07 x_{17} & +  2.65 x_{11} & -1.90 x_{27} & +  1.40 x_{26} & +  2.48 x_{21} & + 85.55 x_{15}\\
 x_{28}   &  19.9350803138 & +  0.09 x_{18} & +  3.96 x_{30} & -27.28 x_{5} & -2.69 x_{4} & +  1.89 x_{24} & -43.31 x_{1} & -51.62 x_{6} & +  1.55 x_{25} & +  2.02 x_{22} & -0.64 x_{17} & +  6.29 x_{11} & -1.84 x_{27} & +  0.99 x_{26} & +  1.95 x_{21} & + 84.20 x_{15}\\
 x_{29}   &  24.2507205981 & -0.67 x_{18} & +  3.84 x_{30} & -46.62 x_{5} & +  3.83 x_{4} & +  1.96 x_{24} & -56.64 x_{1} & -51.79 x_{6} & +  1.74 x_{25} & +  2.19 x_{22} & -0.99 x_{17} & + 19.94 x_{11} & -1.89 x_{27} & +  0.67 x_{26} & +  3.00 x_{21} & + 104.61 x_{15}\\
 x_{9}   &  0.213278894964 & +  0.03 x_{18} & -0.02 x_{30} & -1.50 x_{5} & +  1.51 x_{4} & +  0.04 x_{24} & -1.10 x_{1} & +  0.79 x_{6} & +  0.06 x_{25} & +  0.03 x_{22} & -0.02 x_{17} & +  1.24 x_{11} & +  0.01 x_{27} & +  0.10 x_{26} & +  0.10 x_{21} & +  1.06 x_{15}\\
\hline
z    &  7.73171459282 & -0.27 x_{18} & +  1.58 x_{30} & -12.47 x_{5} & -7.96 x_{4} & +  0.77 x_{24} & -17.87 x_{1} & -19.15 x_{6} & +  0.55 x_{25} & +  0.68 x_{22} & -0.19 x_{17} & -4.51 x_{11} & -0.59 x_{27} & +  0.17 x_{26} & +  0.20 x_{21} & + 33.88 x_{15}\\
\end{array}\]


 $ x_{15} $ enters and $ x_{7} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  12.0771656522 & +  1.22 x_{18} & -1.32 x_{30} & -22.80 x_{5} & + 20.07 x_{4} & +  2.24 x_{24} & -23.76 x_{1} & + 41.50 x_{6} & +  0.76 x_{25} & -0.99 x_{22} & -0.94 x_{17} & -17.44 x_{11} & -0.57 x_{27} & +  1.49 x_{26} & -0.23 x_{21} & -30.86 x_{7}\\
 x_{10}   &  0.343622337553 & +  0.03 x_{18} & +  0.00 x_{30} & -1.07 x_{5} & +  0.12 x_{4} & +  0.06 x_{24} & -0.88 x_{1} & +  0.21 x_{6} & +  0.06 x_{25} & +  0.01 x_{22} & -0.05 x_{17} & -0.64 x_{11} & -0.05 x_{27} & -0.01 x_{26} & -0.02 x_{21} & -1.39 x_{7}\\
 x_{8}   &  0.17539689318 & +  0.01 x_{18} & +  0.05 x_{30} & -0.23 x_{5} & -0.82 x_{4} & +  0.06 x_{24} & -1.06 x_{1} & -0.26 x_{6} & +  0.05 x_{25} & -0.00 x_{22} & +  0.00 x_{17} & -1.16 x_{11} & -0.01 x_{27} & -0.01 x_{26} & -0.03 x_{21} & -0.70 x_{7}\\
 x_{19}   &  24.5861476635 & +  3.11 x_{18} & -3.03 x_{30} & -77.52 x_{5} & + 75.94 x_{4} & +  3.99 x_{24} & -36.16 x_{1} & + 51.34 x_{6} & +  1.87 x_{25} & -0.02 x_{22} & -0.95 x_{17} & -17.84 x_{11} & -2.54 x_{27} & +  4.49 x_{26} & -0.80 x_{21} & -56.96 x_{7}\\
 x_{12}   &  0.303183574616 & +  0.07 x_{18} & -0.03 x_{30} & -0.82 x_{5} & +  1.24 x_{4} & +  0.05 x_{24} & -0.71 x_{1} & +  0.88 x_{6} & +  0.01 x_{25} & +  0.04 x_{22} & -0.02 x_{17} & -0.08 x_{11} & -0.01 x_{27} & +  0.06 x_{26} & -0.01 x_{21} & -0.60 x_{7}\\
 x_{15}   &  0.0494335921661 & +  0.05 x_{18} & -0.08 x_{30} & -0.62 x_{5} & +  0.92 x_{4} & +  0.04 x_{24} & -0.11 x_{1} & +  1.23 x_{6} & +  0.01 x_{25} & -0.02 x_{22} & +  0.00 x_{17} & -0.49 x_{11} & -0.01 x_{27} & +  0.04 x_{26} & -0.04 x_{21} & -0.86 x_{7}\\
 x_{2}   &  0.159233755497 & +  0.05 x_{18} & -0.04 x_{30} & -0.22 x_{5} & +  1.32 x_{4} & +  0.01 x_{24} & +  0.10 x_{1} & +  0.49 x_{6} & +  0.01 x_{25} & -0.03 x_{22} & +  0.00 x_{17} & -0.24 x_{11} & -0.04 x_{27} & +  0.07 x_{26} & -0.01 x_{21} & -0.29 x_{7}\\
 x_{23}   &  18.1925262893 & +  1.83 x_{18} & -1.63 x_{30} & -58.82 x_{5} & + 22.60 x_{4} & +  3.96 x_{24} & -38.26 x_{1} & + 18.77 x_{6} & +  2.55 x_{25} & +  0.47 x_{22} & -0.23 x_{17} & -39.41 x_{11} & -2.14 x_{27} & +  2.04 x_{26} & -1.77 x_{21} & -64.89 x_{7}\\
 x_{14}   &  1.14956280935 & +  0.19 x_{18} & -0.13 x_{30} & -4.36 x_{5} & +  3.37 x_{4} & +  0.25 x_{24} & -2.34 x_{1} & +  1.58 x_{6} & +  0.14 x_{25} & +  0.04 x_{22} & +  0.01 x_{17} & -2.66 x_{11} & -0.18 x_{27} & +  0.19 x_{26} & -0.10 x_{21} & -4.05 x_{7}\\
 x_{3}   &  0.0683887719216 & +  0.05 x_{18} & -0.01 x_{30} & +  0.12 x_{5} & +  1.03 x_{4} & +  0.01 x_{24} & +  0.18 x_{1} & +  0.70 x_{6} & -0.04 x_{25} & +  0.01 x_{22} & +  0.00 x_{17} & -0.16 x_{11} & +  0.00 x_{27} & +  0.00 x_{26} & +  0.03 x_{21} & +  0.70 x_{7}\\
 x_{13}   &  1.84362736386 & +  0.24 x_{18} & -0.22 x_{30} & -5.94 x_{5} & +  4.94 x_{4} & +  0.39 x_{24} & -3.64 x_{1} & +  3.87 x_{6} & +  0.16 x_{25} & -0.02 x_{22} & -0.09 x_{17} & -3.14 x_{11} & -0.21 x_{27} & +  0.27 x_{26} & -0.11 x_{21} & -5.80 x_{7}\\
 x_{20}   &  22.4887899692 & +  4.86 x_{18} & -3.98 x_{30} & -92.01 x_{5} & + 102.90 x_{4} & +  5.13 x_{24} & -56.94 x_{1} & + 72.07 x_{6} & +  2.25 x_{25} & +  0.43 x_{22} & -0.99 x_{17} & -39.66 x_{11} & -3.05 x_{27} & +  5.00 x_{26} & -0.81 x_{21} & -73.95 x_{7}\\
 x_{28}   &  24.09722735 & +  4.12 x_{18} & -2.81 x_{30} & -79.67 x_{5} & + 74.50 x_{4} & +  5.59 x_{24} & -52.23 x_{1} & + 51.64 x_{6} & +  2.58 x_{25} & +  0.45 x_{22} & -0.56 x_{17} & -35.35 x_{11} & -2.97 x_{27} & +  4.53 x_{26} & -1.29 x_{21} & -72.78 x_{7}\\
 x_{29}   &  29.4217234905 & +  4.33 x_{18} & -4.58 x_{30} & -111.71 x_{5} & + 99.72 x_{4} & +  6.56 x_{24} & -67.72 x_{1} & + 76.50 x_{6} & +  3.02 x_{25} & +  0.25 x_{22} & -0.89 x_{17} & -31.79 x_{11} & -3.30 x_{27} & +  5.07 x_{26} & -1.03 x_{21} & -90.42 x_{7}\\
 x_{9}   &  0.265804292822 & +  0.08 x_{18} & -0.10 x_{30} & -2.16 x_{5} & +  2.49 x_{4} & +  0.09 x_{24} & -1.21 x_{1} & +  2.09 x_{6} & +  0.07 x_{25} & +  0.01 x_{22} & -0.01 x_{17} & +  0.72 x_{11} & -0.01 x_{27} & +  0.14 x_{26} & +  0.06 x_{21} & -0.92 x_{7}\\
\hline
z    &  9.40636577202 & +  1.35 x_{18} & -1.15 x_{30} & -33.55 x_{5} & + 23.10 x_{4} & +  2.26 x_{24} & -21.46 x_{1} & + 22.40 x_{6} & +  0.96 x_{25} & +  0.05 x_{22} & -0.16 x_{17} & -21.26 x_{11} & -1.04 x_{27} & +  1.60 x_{26} & -1.10 x_{21} & -29.28 x_{7}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{8} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  16.396604562 & +  1.38 x_{18} & -0.20 x_{30} & -28.45 x_{5} & -24.63 x_{8} & +  3.75 x_{24} & -49.98 x_{1} & + 35.18 x_{6} & +  1.95 x_{25} & -1.11 x_{22} & -0.88 x_{17} & -45.92 x_{11} & -0.87 x_{27} & +  1.15 x_{26} & -0.90 x_{21} & -48.17 x_{7}\\
 x_{10}   &  0.369169214197 & +  0.03 x_{18} & +  0.01 x_{30} & -1.10 x_{5} & -0.15 x_{8} & +  0.07 x_{24} & -1.03 x_{1} & +  0.18 x_{6} & +  0.06 x_{25} & +  0.00 x_{22} & -0.05 x_{17} & -0.81 x_{11} & -0.05 x_{27} & -0.01 x_{26} & -0.02 x_{21} & -1.50 x_{7}\\
 x_{4}   &  0.215189118886 & +  0.01 x_{18} & +  0.06 x_{30} & -0.28 x_{5} & -1.23 x_{8} & +  0.08 x_{24} & -1.31 x_{1} & -0.31 x_{6} & +  0.06 x_{25} & -0.01 x_{22} & +  0.00 x_{17} & -1.42 x_{11} & -0.02 x_{27} & -0.02 x_{26} & -0.03 x_{21} & -0.86 x_{7}\\
 x_{19}   &  40.9273290211 & +  3.73 x_{18} & +  1.19 x_{30} & -98.92 x_{5} & -93.17 x_{8} & +  9.70 x_{24} & -135.34 x_{1} & + 27.42 x_{6} & +  6.35 x_{25} & -0.45 x_{22} & -0.73 x_{17} & -125.59 x_{11} & -3.69 x_{27} & +  3.18 x_{26} & -3.34 x_{21} & -122.46 x_{7}\\
 x_{12}   &  0.568995696141 & +  0.08 x_{18} & +  0.04 x_{30} & -1.17 x_{5} & -1.52 x_{8} & +  0.15 x_{24} & -2.32 x_{1} & +  0.49 x_{6} & +  0.08 x_{25} & +  0.03 x_{22} & -0.01 x_{17} & -1.84 x_{11} & -0.03 x_{27} & +  0.04 x_{26} & -0.05 x_{21} & -1.66 x_{7}\\
 x_{15}   &  0.246701644515 & +  0.06 x_{18} & -0.03 x_{30} & -0.88 x_{5} & -1.12 x_{8} & +  0.11 x_{24} & -1.30 x_{1} & +  0.94 x_{6} & +  0.07 x_{25} & -0.02 x_{22} & +  0.00 x_{17} & -1.80 x_{11} & -0.03 x_{27} & +  0.03 x_{26} & -0.07 x_{21} & -1.66 x_{7}\\
 x_{2}   &  0.4426159507 & +  0.06 x_{18} & +  0.03 x_{30} & -0.59 x_{5} & -1.62 x_{8} & +  0.10 x_{24} & -1.62 x_{1} & +  0.07 x_{6} & +  0.08 x_{25} & -0.04 x_{22} & +  0.01 x_{17} & -2.11 x_{11} & -0.06 x_{27} & +  0.05 x_{26} & -0.06 x_{21} & -1.43 x_{7}\\
 x_{23}   &  23.0562706652 & +  2.01 x_{18} & -0.38 x_{30} & -65.18 x_{5} & -27.73 x_{8} & +  5.66 x_{24} & -67.77 x_{1} & + 11.65 x_{6} & +  3.88 x_{25} & +  0.34 x_{22} & -0.17 x_{17} & -71.48 x_{11} & -2.49 x_{27} & +  1.65 x_{26} & -2.52 x_{21} & -84.39 x_{7}\\
 x_{14}   &  1.87453622848 & +  0.21 x_{18} & +  0.06 x_{30} & -5.31 x_{5} & -4.13 x_{8} & +  0.50 x_{24} & -6.74 x_{1} & +  0.52 x_{6} & +  0.33 x_{25} & +  0.02 x_{22} & +  0.02 x_{17} & -7.44 x_{11} & -0.23 x_{27} & +  0.13 x_{26} & -0.21 x_{21} & -6.95 x_{7}\\
 x_{3}   &  0.289378189764 & +  0.06 x_{18} & +  0.05 x_{30} & -0.17 x_{5} & -1.26 x_{8} & +  0.08 x_{24} & -1.17 x_{1} & +  0.38 x_{6} & +  0.02 x_{25} & +  0.00 x_{22} & +  0.01 x_{17} & -1.62 x_{11} & -0.01 x_{27} & -0.01 x_{26} & +  0.00 x_{21} & -0.18 x_{7}\\
 x_{13}   &  2.90709853434 & +  0.28 x_{18} & +  0.05 x_{30} & -7.33 x_{5} & -6.06 x_{8} & +  0.76 x_{24} & -10.09 x_{1} & +  2.32 x_{6} & +  0.46 x_{25} & -0.05 x_{22} & -0.08 x_{17} & -10.16 x_{11} & -0.28 x_{27} & +  0.19 x_{26} & -0.27 x_{21} & -10.07 x_{7}\\
 x_{20}   &  44.6310116024 & +  5.70 x_{18} & +  1.74 x_{30} & -121.01 x_{5} & -126.24 x_{8} & + 12.86 x_{24} & -191.33 x_{1} & + 39.67 x_{6} & +  8.32 x_{25} & -0.15 x_{22} & -0.69 x_{17} & -185.66 x_{11} & -4.61 x_{27} & +  3.23 x_{26} & -4.25 x_{21} & -162.71 x_{7}\\
 x_{28}   &  40.1278910508 & +  4.73 x_{18} & +  1.33 x_{30} & -100.66 x_{5} & -91.40 x_{8} & + 11.19 x_{24} & -149.52 x_{1} & + 28.18 x_{6} & +  6.97 x_{25} & +  0.02 x_{22} & -0.34 x_{17} & -141.05 x_{11} & -4.10 x_{27} & +  3.25 x_{26} & -3.78 x_{21} & -137.04 x_{7}\\
 x_{29}   &  50.8814445286 & +  5.15 x_{18} & +  0.96 x_{30} & -139.81 x_{5} & -122.35 x_{8} & + 14.05 x_{24} & -197.96 x_{1} & + 45.09 x_{6} & +  8.90 x_{25} & -0.32 x_{22} & -0.60 x_{17} & -173.29 x_{11} & -4.81 x_{27} & +  3.35 x_{26} & -4.36 x_{21} & -176.44 x_{7}\\
 x_{9}   &  0.801055826793 & +  0.10 x_{18} & +  0.03 x_{30} & -2.86 x_{5} & -3.05 x_{8} & +  0.28 x_{24} & -4.46 x_{1} & +  1.31 x_{6} & +  0.22 x_{25} & -0.01 x_{22} & -0.01 x_{17} & -2.81 x_{11} & -0.04 x_{27} & +  0.10 x_{26} & -0.03 x_{21} & -3.06 x_{7}\\
\hline
z    &  14.3763543376 & +  1.54 x_{18} & +  0.14 x_{30} & -40.05 x_{5} & -28.34 x_{8} & +  3.99 x_{24} & -51.62 x_{1} & + 15.13 x_{6} & +  2.32 x_{25} & -0.08 x_{22} & -0.09 x_{17} & -54.04 x_{11} & -1.39 x_{27} & +  1.20 x_{26} & -1.88 x_{21} & -49.20 x_{7}\\
\end{array}\]


 $ x_{6} $ enters and $ x_{4} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  40.4356694283 & +  2.30 x_{18} & +  6.01 x_{30} & -59.93 x_{5} & -161.68 x_{8} & + 12.14 x_{24} & -195.88 x_{1} & -111.71 x_{4} & +  8.53 x_{25} & -1.74 x_{22} & -0.56 x_{17} & -204.43 x_{11} & -2.56 x_{27} & -0.78 x_{26} & -4.63 x_{21} & -144.53 x_{7}\\
 x_{10}   &  0.4900792792 & +  0.04 x_{18} & +  0.04 x_{30} & -1.26 x_{5} & -0.84 x_{8} & +  0.11 x_{24} & -1.77 x_{1} & -0.56 x_{4} & +  0.10 x_{25} & +  0.00 x_{22} & -0.05 x_{17} & -1.61 x_{11} & -0.06 x_{27} & -0.02 x_{26} & -0.04 x_{21} & -1.98 x_{7}\\
 x_{6}   &  0.683282961113 & +  0.03 x_{18} & +  0.18 x_{30} & -0.89 x_{5} & -3.90 x_{8} & +  0.24 x_{24} & -4.15 x_{1} & -3.18 x_{4} & +  0.19 x_{25} & -0.02 x_{22} & +  0.01 x_{17} & -4.51 x_{11} & -0.05 x_{27} & -0.05 x_{26} & -0.11 x_{21} & -2.74 x_{7}\\
 x_{19}   &  59.6627648468 & +  4.44 x_{18} & +  6.03 x_{30} & -123.45 x_{5} & -199.98 x_{8} & + 16.24 x_{24} & -249.05 x_{1} & -87.06 x_{4} & + 11.48 x_{25} & -0.95 x_{22} & -0.48 x_{17} & -249.12 x_{11} & -5.00 x_{27} & +  1.68 x_{26} & -6.25 x_{21} & -197.56 x_{7}\\
 x_{12}   &  0.905821499803 & +  0.09 x_{18} & +  0.12 x_{30} & -1.61 x_{5} & -3.44 x_{8} & +  0.26 x_{24} & -4.37 x_{1} & -1.57 x_{4} & +  0.18 x_{25} & +  0.02 x_{22} & -0.01 x_{17} & -4.06 x_{11} & -0.05 x_{27} & +  0.02 x_{26} & -0.11 x_{21} & -3.01 x_{7}\\
 x_{15}   &  0.887389082381 & +  0.08 x_{18} & +  0.14 x_{30} & -1.72 x_{5} & -4.78 x_{8} & +  0.34 x_{24} & -5.19 x_{1} & -2.98 x_{4} & +  0.24 x_{25} & -0.04 x_{22} & +  0.01 x_{17} & -6.02 x_{11} & -0.07 x_{27} & -0.03 x_{26} & -0.17 x_{21} & -4.22 x_{7}\\
 x_{2}   &  0.490643854193 & +  0.07 x_{18} & +  0.05 x_{30} & -0.66 x_{5} & -1.89 x_{8} & +  0.12 x_{24} & -1.91 x_{1} & -0.22 x_{4} & +  0.10 x_{25} & -0.04 x_{22} & +  0.01 x_{17} & -2.43 x_{11} & -0.07 x_{27} & +  0.05 x_{26} & -0.06 x_{21} & -1.62 x_{7}\\
 x_{23}   &  31.0193542997 & +  2.31 x_{18} & +  1.68 x_{30} & -75.61 x_{5} & -73.13 x_{8} & +  8.44 x_{24} & -116.10 x_{1} & -37.01 x_{4} & +  6.06 x_{25} & +  0.13 x_{22} & -0.06 x_{17} & -123.99 x_{11} & -3.05 x_{27} & +  1.01 x_{26} & -3.76 x_{21} & -116.31 x_{7}\\
 x_{14}   &  2.22944762604 & +  0.23 x_{18} & +  0.15 x_{30} & -5.77 x_{5} & -6.16 x_{8} & +  0.63 x_{24} & -8.90 x_{1} & -1.65 x_{4} & +  0.43 x_{25} & +  0.01 x_{22} & +  0.03 x_{17} & -9.78 x_{11} & -0.26 x_{27} & +  0.10 x_{26} & -0.27 x_{21} & -8.37 x_{7}\\
 x_{3}   &  0.547142583051 & +  0.07 x_{18} & +  0.11 x_{30} & -0.51 x_{5} & -2.73 x_{8} & +  0.17 x_{24} & -2.73 x_{1} & -1.20 x_{4} & +  0.09 x_{25} & -0.01 x_{22} & +  0.01 x_{17} & -3.32 x_{11} & -0.03 x_{27} & -0.03 x_{26} & -0.04 x_{21} & -1.21 x_{7}\\
 x_{13}   &  4.4898202357 & +  0.34 x_{18} & +  0.46 x_{30} & -9.41 x_{5} & -15.09 x_{8} & +  1.32 x_{24} & -19.70 x_{1} & -7.36 x_{4} & +  0.89 x_{25} & -0.09 x_{22} & -0.06 x_{17} & -20.59 x_{11} & -0.39 x_{27} & +  0.06 x_{26} & -0.52 x_{21} & -16.41 x_{7}\\
 x_{20}   &  71.7361812958 & +  6.73 x_{18} & +  8.74 x_{30} & -156.49 x_{5} & -280.78 x_{8} & + 22.33 x_{24} & -355.84 x_{1} & -125.96 x_{4} & + 15.74 x_{25} & -0.87 x_{22} & -0.33 x_{17} & -364.38 x_{11} & -6.51 x_{27} & +  1.06 x_{26} & -8.46 x_{21} & -271.36 x_{7}\\
 x_{28}   &  59.3825836242 & +  5.46 x_{18} & +  6.30 x_{30} & -125.87 x_{5} & -201.17 x_{8} & + 17.91 x_{24} & -266.38 x_{1} & -89.48 x_{4} & + 12.25 x_{25} & -0.49 x_{22} & -0.09 x_{17} & -268.01 x_{11} & -5.45 x_{27} & +  1.71 x_{26} & -6.77 x_{21} & -214.22 x_{7}\\
 x_{29}   &  81.6912196119 & +  6.31 x_{18} & +  8.92 x_{30} & -180.15 x_{5} & -298.01 x_{8} & + 24.81 x_{24} & -384.95 x_{1} & -143.18 x_{4} & + 17.34 x_{25} & -1.14 x_{22} & -0.18 x_{17} & -376.44 x_{11} & -6.97 x_{27} & +  0.88 x_{26} & -9.15 x_{21} & -299.94 x_{7}\\
 x_{9}   &  1.69453095575 & +  0.13 x_{18} & +  0.27 x_{30} & -4.03 x_{5} & -8.15 x_{8} & +  0.59 x_{24} & -9.88 x_{1} & -4.15 x_{4} & +  0.46 x_{25} & -0.03 x_{22} & +  0.00 x_{17} & -8.70 x_{11} & -0.11 x_{27} & +  0.03 x_{26} & -0.16 x_{21} & -6.65 x_{7}\\
\hline
z    &  24.7112993739 & +  1.93 x_{18} & +  2.81 x_{30} & -53.58 x_{5} & -87.26 x_{8} & +  7.60 x_{24} & -114.35 x_{1} & -48.03 x_{4} & +  5.15 x_{25} & -0.35 x_{22} & +  0.05 x_{17} & -122.18 x_{11} & -2.12 x_{27} & +  0.37 x_{26} & -3.48 x_{21} & -90.63 x_{7}\\
\end{array}\]


 $ x_{17} $ enters and $ x_{10} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  34.618833334 & +  1.87 x_{18} & +  5.55 x_{30} & -44.94 x_{5} & -151.77 x_{8} & + 10.85 x_{24} & -174.92 x_{1} & -105.04 x_{4} & +  7.39 x_{25} & -1.77 x_{22} & + 11.87 x_{10} & -185.38 x_{11} & -1.83 x_{27} & -0.49 x_{26} & -4.15 x_{21} & -121.03 x_{7}\\
 x_{17}   &  10.377897424 & +  0.76 x_{18} & +  0.81 x_{30} & -26.74 x_{5} & -17.68 x_{8} & +  2.30 x_{24} & -37.39 x_{1} & -11.90 x_{4} & +  2.04 x_{25} & +  0.04 x_{22} & -21.18 x_{10} & -33.99 x_{11} & -1.30 x_{27} & -0.51 x_{26} & -0.86 x_{21} & -41.93 x_{7}\\
 x_{6}   &  0.778494660763 & +  0.03 x_{18} & +  0.18 x_{30} & -1.14 x_{5} & -4.06 x_{8} & +  0.26 x_{24} & -4.49 x_{1} & -3.28 x_{4} & +  0.21 x_{25} & -0.02 x_{22} & -0.19 x_{10} & -4.82 x_{11} & -0.06 x_{27} & -0.06 x_{26} & -0.11 x_{21} & -3.12 x_{7}\\
 x_{19}   &  54.7177679535 & +  4.07 x_{18} & +  5.64 x_{30} & -110.71 x_{5} & -191.56 x_{8} & + 15.14 x_{24} & -231.23 x_{1} & -81.40 x_{4} & + 10.51 x_{25} & -0.97 x_{22} & + 10.09 x_{10} & -232.92 x_{11} & -4.38 x_{27} & +  1.92 x_{26} & -5.84 x_{21} & -177.58 x_{7}\\
 x_{12}   &  0.83087676014 & +  0.09 x_{18} & +  0.12 x_{30} & -1.41 x_{5} & -3.31 x_{8} & +  0.25 x_{24} & -4.10 x_{1} & -1.48 x_{4} & +  0.16 x_{25} & +  0.02 x_{22} & +  0.15 x_{10} & -3.81 x_{11} & -0.04 x_{27} & +  0.02 x_{26} & -0.10 x_{21} & -2.71 x_{7}\\
 x_{15}   &  1.01454848599 & +  0.09 x_{18} & +  0.15 x_{30} & -2.05 x_{5} & -4.99 x_{8} & +  0.36 x_{24} & -5.65 x_{1} & -3.12 x_{4} & +  0.27 x_{25} & -0.04 x_{22} & -0.26 x_{10} & -6.44 x_{11} & -0.09 x_{27} & -0.03 x_{26} & -0.18 x_{21} & -4.74 x_{7}\\
 x_{2}   &  0.570836605979 & +  0.07 x_{18} & +  0.05 x_{30} & -0.86 x_{5} & -2.03 x_{8} & +  0.14 x_{24} & -2.20 x_{1} & -0.32 x_{4} & +  0.11 x_{25} & -0.04 x_{22} & -0.16 x_{10} & -2.69 x_{11} & -0.08 x_{27} & +  0.04 x_{26} & -0.07 x_{21} & -1.94 x_{7}\\
 x_{23}   &  30.4016108941 & +  2.27 x_{18} & +  1.63 x_{30} & -74.02 x_{5} & -72.08 x_{8} & +  8.30 x_{24} & -113.88 x_{1} & -36.30 x_{4} & +  5.94 x_{25} & +  0.13 x_{22} & +  1.26 x_{10} & -121.97 x_{11} & -2.97 x_{27} & +  1.04 x_{26} & -3.71 x_{21} & -113.81 x_{7}\\
 x_{14}   &  2.51002146561 & +  0.25 x_{18} & +  0.17 x_{30} & -6.50 x_{5} & -6.63 x_{8} & +  0.69 x_{24} & -9.91 x_{1} & -1.97 x_{4} & +  0.49 x_{25} & +  0.01 x_{22} & -0.57 x_{10} & -10.70 x_{11} & -0.29 x_{27} & +  0.09 x_{26} & -0.29 x_{21} & -9.51 x_{7}\\
 x_{3}   &  0.659338491861 & +  0.08 x_{18} & +  0.12 x_{30} & -0.80 x_{5} & -2.92 x_{8} & +  0.20 x_{24} & -3.13 x_{1} & -1.33 x_{4} & +  0.11 x_{25} & -0.01 x_{22} & -0.23 x_{10} & -3.69 x_{11} & -0.04 x_{27} & -0.04 x_{26} & -0.05 x_{21} & -1.67 x_{7}\\
 x_{13}   &  3.88069648254 & +  0.30 x_{18} & +  0.42 x_{30} & -7.84 x_{5} & -14.05 x_{8} & +  1.18 x_{24} & -17.50 x_{1} & -6.66 x_{4} & +  0.77 x_{25} & -0.09 x_{22} & +  1.24 x_{10} & -18.60 x_{11} & -0.32 x_{27} & +  0.09 x_{26} & -0.47 x_{21} & -13.95 x_{7}\\
 x_{20}   &  68.3379115857 & +  6.48 x_{18} & +  8.47 x_{30} & -147.74 x_{5} & -274.99 x_{8} & + 21.57 x_{24} & -343.59 x_{1} & -122.06 x_{4} & + 15.07 x_{25} & -0.88 x_{22} & +  6.93 x_{10} & -353.25 x_{11} & -6.09 x_{27} & +  1.23 x_{26} & -8.18 x_{21} & -257.63 x_{7}\\
 x_{28}   &  58.4868567369 & +  5.39 x_{18} & +  6.23 x_{30} & -123.56 x_{5} & -199.65 x_{8} & + 17.71 x_{24} & -263.16 x_{1} & -88.45 x_{4} & + 12.07 x_{25} & -0.49 x_{22} & +  1.83 x_{10} & -265.08 x_{11} & -5.34 x_{27} & +  1.75 x_{26} & -6.70 x_{21} & -210.60 x_{7}\\
 x_{29}   &  79.7760759606 & +  6.17 x_{18} & +  8.77 x_{30} & -175.21 x_{5} & -294.74 x_{8} & + 24.38 x_{24} & -378.05 x_{1} & -140.98 x_{4} & + 16.96 x_{25} & -1.15 x_{22} & +  3.91 x_{10} & -370.17 x_{11} & -6.73 x_{27} & +  0.98 x_{26} & -8.99 x_{21} & -292.20 x_{7}\\
 x_{9}   &  1.74061605087 & +  0.13 x_{18} & +  0.27 x_{30} & -4.15 x_{5} & -8.22 x_{8} & +  0.60 x_{24} & -10.05 x_{1} & -4.20 x_{4} & +  0.47 x_{25} & -0.03 x_{22} & -0.09 x_{10} & -8.85 x_{11} & -0.11 x_{27} & +  0.02 x_{26} & -0.17 x_{21} & -6.83 x_{7}\\
\hline
z    &  25.1799625739 & +  1.96 x_{18} & +  2.84 x_{30} & -54.79 x_{5} & -88.06 x_{8} & +  7.71 x_{24} & -116.03 x_{1} & -48.56 x_{4} & +  5.25 x_{25} & -0.35 x_{22} & -0.96 x_{10} & -123.72 x_{11} & -2.18 x_{27} & +  0.35 x_{26} & -3.52 x_{21} & -92.53 x_{7}\\
\end{array}\]


 $ x_{18} $ enters and Unbounded Dictionary!


 $ x_{18} $ enters and Unbounded Dictionary!
\end{document}
